Abstract
This chapter could easily be the basis for a second volume. Here we treat the work of Christ/Geller on the structure of H p functions, we treat the ideas of Nagel/Stein about new approach regions for the Fatou theory, we talk about H 1 and BMO, we describe the atomic theory of Hardy spaces, and we discuss square functions.
These are all fundamental ideas of harmonic analysis, and they constitute an invitation for the reader to continue his/her studies.
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Adams, Sobolev Spaces, Academic Press, New York, 1975.
P. Ahern, M. Flores, and W. Rudin, An invariant volume-mean-value property, Jour. Functional Analysis 11(1993), 380–397.
L. Ahlfors, Complex Analysis, 3rd. ed., McGraw-Hill, New York, 1978.
L. A. Aĭzenberg, Fatou’s theorem, the convergence of sequences, and a uniqueness theorem for analytic functions of several variables, Moskov. Oblast. Ped. Inst. Uc̆en. Zap. 77(1959), 111–125.
H. Arai, Singular elliptic operators related to harmonic analysis and complex analysis of several variables, Trends in Probability and Related Analysis (Taipei, 1998), 1–34, World Sci. Publ., River Edge, NJ, 1999.
J. Arazy and M. Engliš, Iterates and the boundary behavior of the Berezin transform, Ann Inst. Fourier (Grenoble) 51(2001), 1101–1133.
N. Aronszajn, Theory of reproducing kernels, Trans. Am. Math. Soc. 68(1950), 337–404.
F. Bagemihl and W. Seidel, Some boundary properties of analytic functions, Math. Zeitschr. 61(1954), 186–199.
S. R. Barker, Two theorems on boundary values of analytic functions, Proc. A. M. S. 68(1978), 48–54.
D. Barrett, The behavior of the Bergman projection on the Diederich–Fornaess worm, Acta Math. 168(1992), 1–10.
D. Barrett, Irregularity of the Bergman projection on a smooth bounded domain in \(\mathbb{C}^{2},\) Annals of Math. 119(1984), 431–436.
D. Barrett, Regularity of the Bergman projection on domains with transverse symmetries, Math. Ann. 258(1981/82), 441–446.
T. N. Bailey, M. G. Eastwood, and C. R. Graham, Invariant theory for conformal and CR geometry, Annals of Math. 139(1994), 491–552.
E. Bedford and J.-E. Fornæss, A construction of peak functions on weakly pseudoconvex domains, Ann. Math. 107(1978), 555–568.
E. Bedford and J. E. Fornæss, Counterexamples to regularity for the complex Monge–Ampère equation, Invent. Math. 50 (1978/79), 129–134.
D. Békollé, A. Bonami, G. Garrigós, C. Nana, M. M. Peloso, F. Ricci, Lecture notes on Bergman projectors in tube domains over cones: an analytic and geometric viewpoint, IMHOTEP J. Afr. Math. Pures Appl. 5(2004), Exp. I, front matter + ii + 75 pp.
S. Bell, Biholomorphic mappings and the \(\overline{\partial }\)-problem, Ann. Math., 114(1981), 103–113.
S. Bell, The Cauchy Transform, Potential Theory, and Conformal Mapping, Studies in Advanced Mathematics. CRC Press, Boca Raton, FL, 1992.
S. Bell, Local boundary behavior of proper holomorphic mappings, Proc. Sympos. Pure Math, vol. 41, American Math. Soc., Providence R.I., 1984, 1–7.
S. Bell and H. Boas, Regularity of the Bergman projection in weakly pseudoconvex domains, Math. Annalen 257(1981), 23–30.
S. Bell and S. G. Krantz, Smoothness to the boundary of conformal maps, Rocky Mt. Jour. Math. 17(1987), 23–40.
S. Bell and E. Ligocka, A simplification and extension of Fefferman’s theorem on biholomorphic mappings, Invent. Math. 57(1980), 283–289.
C. Berenstein, D.-C. Chang, W. Eby, L p results for the Pompeiu problem with moments on the Heisenberg group. J. Fourier Anal. Appl. 10(2004), 545–571.
C. Berenstein, D.-C. Chang, J. Tie, Laguerre calculus and its applications on the Heisenberg group. AMS/IP Studies in Advanced Mathematics, 22. American Mathematical Society, Providence, RI; International Press, Somerville, MA, 2001. xii+319 pp.
F. A. Berezin, Quantization in complex symmetric spaces, Math. USSR Izvestia 9(1975), 341–379.
J. Bergh and J. Löfström, Interpolation Spaces: An Introduction, Springer-Verlag, Berlin, 1976.
S. Bergman, Über die Entwicklung der harmonischen Funktionen der Ebene und des Raumes nach Orthogonal funktionen, Math. Annalen 86(1922), 238–271.
S. Bergman, The Kernel Function and Conformal Mapping, Am. Math. Soc., Providence, RI, 1970.
S. Bergman and M. Schiffer, Kernel Functions and Elliptic Differential Equations in Mathematical Physics, Academic Press, New York, 1953.
B. Berndtsson and P. Charpentier, A Sobolev mapping property of the Bergman kernel, Math. Z. 235(2000), 1–10.
L. Bers, Introduction to Several Complex Variables, New York Univ. Press, New York, 1964.
B. Blank and S. G. Krantz, Calculus, Key College Press, Emeryville, CA, 2006.
Z. Blocki and P. Pflug, Hyperconvexity and Bergman completeness, Nagoya Math. J. 151(1998), 221–225.
H. Boas, Counterexample to the Lu Qi-Keng conjecture, Proc. Am. Math. Soc. 97(1986), 374–375.
H. Boas, Sobolev space projections in strictly pseudoconvex domains, Trans. Amer. Math. Soc. 288(1985), 227–240.
H. Boas, Lu Qi-Keng’s problem. Several complex variables (Seoul, 1998), J. Korean Math. Soc. 37(2000), 253–267.
H. Boas, The Lu Qi-Keng conjecture fails generically, Proc. Amer. Math. Soc. 124(1996), 2021–2027.
H. Boas, S. G. Krantz, M. M. Peloso, unpublished.
H. Boas and E. Straube, Equivalence of regularity for the Bergman projection and the \(\overline{\partial }\)-Neumann operator, Manuscripta Math. 67(1990), 25–33.
H. Boas and E. Straube, Sobolev estimates for the \(\overline{\partial }\)-Neumann operator on domains in \(\mathbb{C}^{n}\) admitting a defining function that is plurisubharmonic on the boundary, Math. Z. 206 (1991), 81–88.
S. Bochner, Orthogonal systems of analytic functions, Math. Z. 14(1922), 180–207.
A. Boggess, CR Functions and the Tangential Cauchy–Riemann Complex, CRC Press, Boca Raton, 1991.
A. Boussejra, K. Koufany, Characterization of the Poisson integrals for the non-tube bounded symmetric domains, J. Math. Pures Appl. 87(2007), 438–451.
L. Boutet de Monvel, Le noyau de Bergman en dimension 2, Séminaire sur les Équations aux Dérivées Partielles 1987–1988, Exp. no. XXII, École Polytechnique Palaiseau, 1988, p. 13.
L. Boutet de Monvel and J. Sjöstrand, Sur la singularité des noyaux de Bergman et Szegő, Soc. Mat. de France Asterisque 34–35(1976), 123–164.
H. Bremerman, Über die Äquivalenz der pseudoconvex Gebiete und der Holomorphie-gebiete in Raum von n Komplexen Veränderlichen, Math. Ann. 128(1954), 63–91.
L. Bungart, Holomorphic functions with values in locally convex spaces and applications to integral formulas, Trans. Am. Math. Soc. 111(1964), 317–344.
D. Burkholder, R. Gundy, and M. Silverstein, A maximal function characterization of the class H p, Trans. Am. Math. Soc. 157(1971), 137–153.
D. Burns, S. Shnider, and R. O. Wells, On deformations of strictly pseudoconvex domains, Invent. Math. 46(1978), 237–253.
L. Caffarelli, J. J. Kohn, L. Nirenberg, and J. Spruck, The Dirichlet problem for nonlinear second-order elliptic equations. II. Complex Monge–Ampère, and uniformly elliptic, equations, Comm. Pure Appl. Math. 38(1985), 209–252.
A. Calderón, On the behavior of harmonic functions near the boundary, Trans. Amer. Math. Soc. 68(1950), 47–54.
A. Calderón and A. Zygmund, Note on the boundary values of functions of several complex variables, Contributions to Fourier Analysis, Annals of Mathematics Studies, no. 25, Princeton University Press, Princeton, NJ, 1950, 145–165.
A. P. Calderón and A. Zygmund, Note on the limit values of analytic functions. (Spanish) Revista Uni. Mat. Argentina 14(1949), 16–19.
A. Carbery, A version of Cotlar’s lemma for L p spaces and some applications, Harmonic Analysis and Operator Theory (Caracas, 1994), 117–134, Contemp. Math., 189, Amer. Math. Soc., Providence, RI, 1995.
Carrier, Crook, and Pearson, Functions of a Complex Variable, McGraw–Hill, New York, 1966.
D. Catlin, Necessary conditions for subellipticity of the \(\overline{\partial }-\) Neumann problem, Ann. Math. 117(1983), 147–172.
D. Catlin, Subelliptic estimates for the \(\overline{\partial }\) Neumann problem, Ann. Math. 126(1987), 131–192.
D. Catlin, Boundary behavior of holomorphic functions on pseudoconvex domains, J. Differential Geom. 15(1980), 605–625.
D.-C. Chang, On the boundary of Fourier and complex analysis: the Pompeiu problem, Taiwanese J. Math. 6(2002), 1–37.
D.-C. Chang, Singular integrals: Calderón–Zygmund-Stein theory, preprint.
D.-C. Chang, W. Eby, Pompeiu problem on product of Heisenberg groups, Complex Anal. Oper. Theory 4 (2010), 619–683.
S.-C. Chen, Characterization of automorphisms on the Barrett and the Diederich–Fornaess worm domains, Trans. Amer. Math. Soc. 338(1993), 431–440.
S.-C. Chen, A counterexample to the differentiability of the Bergman kernel function, Proc. AMS 124(1996), 1807–1810.
B.-Y. Chen and S. Fu, Comparison of the Bergman and Szegő kernels, Advances in Math. 228(2011), 2366–2384.
S.-C. Chen and M.-C. Shaw, Partial Differential Equations in Several Complex Variables, AMS/IP Studies in Advanced Mathematics, 19, American Mathematical Society, Providence, RI, 2001.
S.-Y. Cheng, Open problems, Conference on Nonlinear Problems in Geometry Held in Katata, September, 1979, Tohoku University, Dept. of Mathematics, Sendai, 1979, p. 2.
S. S. Chern and J. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133(1974), 219–271.
K. S. Choi, Notes on Carleson type measures on bounded symmetric domain, Commun. Korean Math. Soc. 22(2007), 65–74.
M. Christ, Singular Integrals, CBMS, Am. Math. Society, Providence, RI, 1990.
M. Christ, Global C ∞ irregularity of the \(\overline{\partial }\)-Neumann problem for worm domains, J. Amer. Math. Soc. 9(1996), 1171–1185.
M. Christ and D. Geller, Singular integral characterizations of Hardy spaces on homogeneous groups, Duke Math. J. 51(1984), 547–598.
J. Cima and S. G. Krantz, A Lindelöf principle and normal functions in several complex variables, Duke Math. Jour. 50(1983), 303–328.
R. Coifman, R. Rochberg, and G. Weiss, Factorization theorems for Hardy spaces in several variables, Ann. of Math. 103(1976), 611–635.
R. R. Coifman and G. L. Weiss, Analyse harmonique non-commutative sur certains espaces homogénes, Lecture Notes in Mathematics, Vol. 242. Springer–Verlag, Berlin-New York, 1971.
R. R. Coifman and G. L. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83(1977), 569–645.
E. F. Collingwood and A. J. Lohwater, The Theory of Cluster Sets, Cambridge University Press, Cambridge, 1966.
P. E. Conner, The Neumann’s Problem for Differential Forms on Riemannian Manifolds, Mem. Am. Math. Soc. #20, 1956.
A. Cordoba and R. Fefferman, On the equivalence between the boundedness of certain classes of maximal and multiplier operators in Fourier analysis, Proc. Nat. Acad. Sci. U.S.A. 74(1977), 423–425.
M. Cotlar, A combinatorial inequality and its applications to L 2-spaces, Rev. Mat. Cuyana 1(1955), 41–55.
R. Courant and D. Hilbert, Methods of Mathematical Physics, 2nd ed., Interscience, New York, 1966.
G. Dafni, Hardy spaces on strongly pseudoconvex domains in \(\mathbb{C}^{n}\) and domains of finite type in \(\mathbb{C}^{2}\), Thesis (Ph.D.) Princeton University, 1993, 86 pp.
G. Dafni, Hardy spaces on some pseudoconvex domains, J. Geom. Anal. 4(1994), 273–316.,
S. B. Damelin, A. J. Devaney, Local Paley–Wiener theorems for functions analytic on unit spheres, Inverse Problems 23(2007), 463–474.
M. de Guzman, Differentiation of Integrals in \(\mathbb{R}^{n}\), Springer Lecture Notes, Springer-Verlag, Berlin and New York, 1975.
J.-P. Demailly, Analytic Methods in Algebraic Geometry, Surveys of Modern Mathematics, 1. International Press, Somerville, MA; Higher Education Press, Beijing, 2012. viii+231 pp.
F. Di Biase, Fatou Type Theorems. Maximal Functions and Approach Regions, Progress in Mathematics, 147. Birkhäuser Boston, Boston, MA, 1998.
F. Di Biase and B. Fischer, Boundary behaviour of H p functions on convex domains of finite type in \(\mathbb{C}^{n}\), Pacific J. Math. 183(1998), 25–38.
F. DiBiase and S. G. Krantz, The Boundary Behavior of Holomorphic Functions, Birkhäuser Publishing, to appear.
K. Diederich, Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudo-konvexen Gebieten, Math. Ann. 187(1970), 9–36.
K. Diederich, Über die 1. and 2. Ableitungen der Bergmanschen Kernfunktion und ihr Randverhalten, Math. Ann. 203(1973), 129–170.
K. Diederich and J.-E. Fornæss, Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions, Invent. Math. 39(1977), 129–141.
K. Diederich and J.-E. Fornæss, Pseudoconvex domains: An example with nontrivial Nebenhülle, Math. Ann. 225(1977), 275–292.
K. Diederich and J.-E. Fornæss, Pseudoconvex domains with real-analytic boundary, Annals of Math. 107(1978), 371–384.
K. Diederich and J. E. Fornæss, Smooth extendability of proper holomorphic mappings, Bull. Amer. Math. Soc. (N.S.) 7(1982), 264–268.
C. Domenichino, Converse of spherical mean-value property for invariant harmonic functions, Complex Variables Theory Appl. 45(2001), 371–385.
E. Doubtsov, An F. and M. Riesz theorem on the complex sphere, J. Fourier Anal. Appl. 12(2006), 225–231.
E. S. Dubtsov, Some problems of harmonic analysis on a complex sphere, Vestnik St. Petersburg Univ. Math. 28(1995), 12–16.
E. S. Dubtsov, On the radial behavior of functions holomorphic in a ball, Vestnik St. Petersburg Univ. Math. 27(1994), 21–27.
P. L. Duren, B. W. Romberg, and A. L. Shields, Linear functionals on H p spaces with 0 < p < 1, J. Reine Angew. Math. 238(1969), 32–60.
M. Engliš, Functions invariant under the Berezin transform, J. Funct. Anal. 121(1994), 233–254.
M. Engliš, Asymptotics of the Berezin transform and quantization on planar domains, Duke Math. J. 79(1995), 57–76.
B. Epstein, Orthogonal Families of Functions, Macmillan, New York, 1965.
H. Federer, Geometric Measure Theory, Springer-Verlag, New York, 1969.
C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26(1974), 1–65.
C. Fefferman, Monge–Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains, Ann. of Math. 103(1976), 395–416.
C. Fefferman, Characterizations of bounded mean oscillation, Bull. Amer. Math. Soc. 77(1971), 587–588.
C. Fefferman and E. M. Stein, H p spaces of several variables, Acta Math. 129(1972), 137–193.
G. B. Folland, Spherical harmonic expansion of the Poisson–Szegö kernel for the ball, Proc. Am. Math. Soc. 47(1975), 401–408.
G. B. Folland, Some topics in the history of harmonic analysis in the twentieth century, Indian J. Pure Appl. Math. 48(2017), 1–58.
G. B. Folland and J. J. Kohn, The Neumann Problem for the Cauchy–Riemann Complex, Princeton University Press, Princeton, 1972.
G. B. Folland and E. M. Stein, Estimates for the \(\overline{\partial }_{b}\) complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27(1974), 429–522.
G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Mathematical Notes, 28. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1982.
L. Fontana, S. G. Krantz, and M. M. Peloso, The \(\overline{\partial }\)-Neumann problem in the Sobolev topology, Indiana Journal of Math. 48(1999), 275–293.
F. Forstneric, An elementary proof of Fefferman’s theorem, Expositiones Math., 10(1992), 136–149.
B. Fridman, A universal exhausting domain, Proc. Am. Math. Soc. 98(1986), 267–270.
S. Fu and B. Wong, On strictly pseudoconvex domains with Kähler–Einstein Bergman metrics, Math. Res. Letters 4(1997), 697–703.
T. W. Gamelin, Uniform Algebras, Prentice Hall, Englewood Cliffs, 1969.
T. Gamelin and N. Sibony, Subharmonicity for uniform algebras. J. Funct. Anal. 35 (1980), 64–108.
P. R. Garabedian, A Green’s function in the theory of functions of several complex variables, Ann. of Math. 55(1952). 19–33.
J. B. Garnett, Bounded Analytic Functions, Academic Press, New York, 1981.
J. B. Garnett and R. H. Latter, The atomic decomposition for Hardy spaces in several complex variables, Duke Math. J. 45(1978), 815–845.
D. Geller, Fourier analysis on the Heisenberg group, Proc. Nat. Acad. Sci. USA 74(1977), 1328–1331.
D. Geller, Fourier analysis on the Heisenberg group, Lie Theories and their Applications, Queen’s University, Kingston, Ontario, 1978, 434–438.
D. Geller, Fourier analysis on the Heisenberg group. I. Schwarz space, J. Functional Anal. 36(1980), 205–254.
D. Geller and E. M. Stein, Convolution operators on the Heisenberg group, Bull. Am. Math. Soc. 6(1982), 99–103.
S. Gindikin, Holomorphic harmonic functions. Russ. J. Math. Phys. 15(2008), 243–245.
A. Gleason, Finitely generated ideals in Banach algebras, J. Math. Mech. 13(1964), 125–132.
The abstract theorem of Cauchy–Weil, Pac. J. Math. 12(1962), 511–525.
G. M. Goluzin, Geometric Theory of Functions of a Complex Variable, American Mathematical Society, Providence, 1969.
D. D. Gong, Some estimates for singular integrals in the building domain of complex biballs (Chinese), J. Math. Study 40(2007), 290–296.
C. R. Graham, The Dirichlet problem for the Bergman Laplacian, I, Comm. Partial Differential Equations 8(1983), 433–476.
C. R. Graham, The Dirichlet problem for the Bergman Laplacian, II, Comm. Partial Differential Equations 8(1983), 563–641.
C. R. Graham, Scalar boundary invariants and the Bergman kernel, Complex analysis, II (College Park, Md., 1985–86), 108–135, Lecture Notes in Math. 1276, Springer, Berlin, 1987.
I. Graham, Boundary behavior of the Carathéodory and Kobayashi metrics on strongly pseudoconvex domains in \(\mathbb{C}^{n}\) with smooth boundary, Trans. Am. Math. Soc. 207(1975), 219–240.
H. Grauert and I. Lieb, Das Ramirezsche Integral und die Gleichung \(\overline{\partial }u =\alpha\) im Bereich der beschränkten Formen, Rice University Studies 56(1970), 29–50.
R. E. Greene, K.-T. Kim, and S. G. Krantz, The Geometry of Complex Domains, Birkhäuser, Boston, 2011.
R. E. Greene and S. G. Krantz, Stability properties of the Bergman kernel and curvature properties of bounded domains, Recent Developments in Several Complex Variables (J. E. Fornæss, ed.), Princeton University Press (1979), 179–198.
R. E. Greene and S. G. Krantz, Deformation of complex structures, estimates for the \(\overline{\partial }\) equation, and stability of the Bergman kernel, Adv. Math. 43(1982), 1–86.
R. E. Greene and S. G. Krantz, Biholomorphic self-maps of domains, Complex Analysis II (C. Berenstein, ed.), Springer Lecture Notes, vol. 1276, 1987, 136–207.
R. E. Greene and S. G. Krantz, Function Theory of One Complex Variable, 3rd ed., American Mathematical Society, Providence, RI, 2006.
R. E. Greene and S. G. Krantz, The automorphism groups of strongly pseudoconvex domains, Math. Annalen 261(1982), 425–446.
P. Greiner, Subelliptic estimates for the \(\overline{\partial }\)-Neumann problem in \(\mathbb{C}^{2},\) J. Diff. Geom. 9(1974), 239–250.
P. Greiner, J. J. Kohn, and E. M. Stein, Necessary and sufficient conditions for solvability of the Lewy equation, Proc. Nat. Acad. Sci. 72(1975), 3287–3289.
P. Greiner and E. M. Stein, Estimates for the \(\overline{\partial }\)-Neumann Problem, Princeton University Press, Princeton, NJ, 1977.
N. Hanges, Explicit formulas for the Szegö kernel for some domains in \(\mathbb{C}^{2}\). J. Funct. Anal. 88 (1990), 153–165.
G. H. Hardy and J. E. Littlewood, Theorems concerning mean values of analytic or harmonic functions, Q. J. Math. Oxford Ser. 12 (1941), 221–256.
G. H. Hardy and J. E. Littlewood, Some properties of functional integrals II, Math. Zeit. 4(1932), 403–439.
R. Harvey and J. Polking, Fundamental solutions in complex analysis I and II, Duke Math. J. 46(1979), 253–300 and 46(1979), 301–340.
S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962.
G. M. Henkin, Integral representations of functions holomorphic in strictly pseudoconvex domains and applications to the \(\overline{\partial }\) problem, Mat. Sb. 82(124), 300–308 (1970); Math. U.S.S.R. Sb. 11(1970), 273–281.
G. M. Henkin, Solutions with estimates of the H. Lewy and Poincaré–Lelong equations, the construction of functions of a Nevanlinna class with given zeroes in a strictly pseudoconvex domain, Dok. Akad. Nauk. SSSR 224(1975), 771–774; Sov. Math. Dokl. 16(1975), 1310–1314.
E. Hille, Analytic Function Theory, Ginn & Co., Boston, MA, 1959.
K. Hirachi, The second variation of the Bergman kernel of ellipsoids, Osaka J. Math. 30(1993), 457–473.
K. Hirachi, Scalar pseudo-Hermitian invariants and the Szegő kernel on three-dimensional CR manifolds, Complex Geometry (Osaka, 1990), Lecture Notes Pure Appl. Math., v. 143, Marcel Dekker, New York, 1993, 67–76.
K. Hirachi, Construction of boundary invariants and the logarithmic singularity in the Bergman kernel, Annals of Math. 151(2000), 151–190.
M. Hirsch, Differential Topology, Springer–Verlag, New York, 1976.
K. Hoffman, Banach Spaces of Holomorphic Functions, Prentice-Hall, Englewood Cliffs, NJ. 1962.
L. Hörmander, L 2 estimates and existence theorems for the \(\overline{\partial }\) operator, Acta Math. 113(1965), 89–152.
L. Hörmander, Linear Partial Differential Operators, Springer, Berlin, 1963.
L. Hörmander, Fourier integral operators, I, Acta Math. 127(1971), 79–183.
L. Hörmander, Introduction to Complex Analysis in Several Variables, North Holland, Amsterdam, 1973.
L p estimates for (pluri-)subharmonic functions, Math. Scand. 20(1967), 65–78.
L. Hörmander and J. Sjöstrand, Fourier integral operators, II, Acta Math. 128(1972), 183–269.
L. Hörmander, Estimates for translation invariant o perators in L p spaces, Acta Math. 104(1960), 93–140.
L. Hua, Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, American Mathematical Society, Providence, 1963.
A. Isaev and S. G. Krantz, Domains with non-compact automorphism group: A Survey, Advances in Math. 146(1999), 1–38.
H. Jacobowitz and F. Treves, Nowhere solvable homogeneous partial differential equations, Bull. A.M.S. 8(1983), 467–469.
S. Jakobsson, Weighted Bergman kernels and biharmonic Green functions, Ph.D. thesis, Lunds Universitet, 2000, 134 pages.
P. Jaming, M. Roginskaya, Boundary behaviour of M-harmonic functions and non-isotropic Hausdorff measure, Monatsh. Math. 134(2002), 217–226.
F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure and Appl. Math. 14(1961), 415–426.
S. Kaczmarz, Über die Konvergenz der Reihen von Orthogonal-funktionen, Math. Z. 23(1925), 263–270.
Kaneyuki, Homogeneous Domains and Siegel Domains, Springer Lecture Notes #241, Berlin, 1971.
Y. Katznelson, Introduction to Harmonic Analysis, Wiley, New York, 1968.
O. Kellogg, Harmonic functions and Green’s integral, Trans. Am. Math. Soc. 13(1912), 109–132.
N. Kerzman, Hölder and L p estimates for solutions of \(\overline{\partial }u = f\) on strongly pseudoconvex domains, Comm. Pure Appl. Math. XXIV(1971), 301–380.
N. Kerzman, The Bergman kernel function. Differentiability at the boundary, Math. Ann. 195(1972), 149–158.
N. Kerzman, A Monge–Ampère equation in complex analysis, Several complex variables (Proc. Sympos. Pure Math., Vol. XXX, Part 1, Williams Coll., Williamstown, Mass., 1975), pp. 161–167. Amer. Math. Soc., Providence, R.I., 1977.
N. Kerzman, Topics in Complex Analysis, unpublished notes, MIT, 1978.
N. Kerzman and E. M. Stein, The Szegő kernel in terms of Cauchy–Fantappiè kernels, Duke Math. J. 45(1978), 197–224.
C. Kiselman, A study of the Bergman projection in certain Hartogs domains, Proc. Symposia Pure Math., vol. 52 (E. Bedford, J. D’Angelo, R. Greene, and S. Krantz eds.), American Mathematical Society, Providence, 1991.
P. Klembeck, Kähler metrics of negative curvature, the Bergman metric near the boundary and the Kobayashi metric on smooth bounded strictly pseudoconvex sets, Indiana Univ. Math. J. 27(1978), 275–282.
A. Knapp and E. M. Stein, Intertwining operators for semisimple groups, Ann. of Math. 93(1971), 489–578.
S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, New York, 1970.
S. Kobayashi, Geometry of bounded domains, Trans. AMS 92(1959), 267–290.
S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vols. I and II, Interscience, New York, 1963, 1969.
J. J. Kohn, Quantitative estimates for global regularity, Analysis and geometry in several complex variables (Katata, 1997), 97–128, Trends Math., Birkhäuser Boston, Boston, MA, 1999.
J. J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds I, Ann. Math. 78(1963), 112–148; II, ibid. 79(1964), 450–472.
J. J. Kohn, Global regularity for \(\overline{\partial }\) on weakly pseudoconvex manifolds, Trans. A. M. S. 181(1973), 273–292.
J. J. Kohn and L. Nirenberg, Non-coercive boundary value problems, Comm. Pure Appl. Math. 18(1965), 443–492.
J. J. Kohn and L. Nirenberg, On the algebra of pseudo-differential operators, Comm. Pure Appl. Math. 18(1965), 269–305.
P. Koosis, Lectures onH p Spaces, Cambridge University Press, Cambridge, UK, 1980.
A. Korányi, Harmonic functions on Hermitian hyperbolic space, Trans. A.M.S. 135(1969), 507–516.
A. Korányi, Boundary behavior of Poisson integrals on symmetric spaces, Trans. A.M.S. 140(1969), 393–409.
A. Koranyi and S. Vagi, Singular integrals in homogeneous spaces and some problems of classical analysis, Ann. Scuola Norm. Sup. Pisa 25(1971), 575–648.
S. G. Krantz, Function Theory of Several Complex Variables, 2nd ed., American Mathematical Society, Providence, RI, 2001.
S. G. Krantz, A Panorama of Harmonic Analysis, Mathematical Association of America, Washington, D.C., 1999.
S. G. Krantz, Real Analysis and Foundations, CRC Press, Boca Raton, 1992.
S. G. Krantz, Fractional integration on Hardy spaces, Studia Math. 73(1982), 87–94.
S. G. Krantz, Partial Differential Equations and Complex Analysis, CRC Press, Boca Raton, 1992.
S. G. Krantz, Lipschitz spaces, smoothness of functions, and approximation theory, Expositiones Math. 3(1983), 193–260.
S. G. Krantz, Invariant metrics and the boundary behavior of holomorphic functions on domains in \(\mathbb{C}^{n}\), J. Geom. Anal. 1(1991), 71–97.
S. G. Krantz, Canonical kernels versus constructible kernels, Rocky Mountain Journal of Mathemtics, to appear.
S. G. Krantz, Holomorphic functions of bounded mean oscillation and mapping properties of the Szegő projection, Duke Math. Jour. 47(1980), 743–761.
S. G. Krantz, Optimal Lipschitz and L p regularity for the equation \(\overline{\partial }u = f\) on strongly pseudo-convex domains, Math. Annalen 219(1976), 233–260.
S. G. Krantz, Explorations in Harmonic Analysis, with Applications in Complex Function Theory and the Heisenberg Group, Birkhäuser Publishing, Boston, 2009.
S. G. Krantz, Geometric Lipschitz spaces and applications to complex function theory and nilpotent groups, J. Funct. Anal. 34(1980), 456–471.
S. G. Krantz, Calculation and estimation of the Poisson kernel, J. Math. Anal. Appl. 302(2005)143–148.
S. G. Krantz, The Lindelöf principle in several complex variables, Journal of Math. Anal. and Applications 326(2007), 1190–1198.
S. G. Krantz, Geometric Analysis and Function Spaces, CBMS and the American Mathematical Society, Providence, 1993.
S. G. Krantz, Complex Analysis: The Geometric Viewpoint, 2nd ed., Mathematical Association of America, Washington, D.C., 2004.
S. G. Krantz, Cornerstones of Geometric Function Theory: Explorations in Complex Analysis, Birkhäuser Publishing, Boston, 2006.
S. G. Krantz, Geometric Analysis of the Bergman Kernel and Metric, Birkhäuser, Boston, 2013.
S. G. Krantz, Characterization of various domains of holomorphy via \(\overline{\partial }\) estimates and applications to a problem of Kohn, Ill. J. Math. 23(1979), 267–286.
S. G. Krantz, On a construction of L. Hua for positive reproducing kernels, Michigan Math. J. 59(2010), 211–230.
S. G. Krantz, A new proof and a generalization of Ramadanov’s theorem, Complex Variables and Elliptic Eq. 51(2006), 1125–1128.
S. G. Krantz, Boundary decomposition of the Bergman kernel, Rocky Mountain Journal of Math., 41(2011), 1265–1272.
S. G. Krantz, A direct connection between the Bergman and Szegő kernels, Complex Analysis and Operator Theory 8(2014), 571–579.
S. G. Krantz, Lipschitz spaces on stratified groups, Trans. Am. Math. Soc. 269(1982), 39–66.
S. G. Krantz, Harmonic analysis of several complex variables: a survey, Expo. Math. 31(2013), 215–255.
S. G. Krantz and S.-Y. Li, Area integral characterizations of functions in Hardy spaces on domains in \(\mathbb{C}^{n}\), Complex Variables Theory Appl. 32(1997), 373–399.
S. G. Krantz and S.-Y. Li, A Note on Hardy Spaces and Functions of Bounded Mean Oscillation on Domains in \(\mathbb{C}^{n}\), Michigan Jour. Math. 41 (1994), 51–72.
S. G. Krantz and S.-Y. Li, On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^{n}\) and applications, J. Fourier Anal. Appl. 2(1995), 65–107.
S. G. Krantz and S.-Y. Li, On the existence of smooth plurisubharmonic solutions for certain degenerate Monge–Ampère equations, Complex Variables Theory Appl. 41(2000), 207–219.
S. G. Krantz and S.-Y. Li, Duality theorems for Hardy and Bergman spaces on convex domains of finite type in \(\mathbb{C}^{n}\), Ann. Inst. Fourier (Grenoble) 45(1995), 1305–1327.
S. G. Krantz and D. Ma, BMO and Duality on pseudoconvex domains, preprint.
S. G. Krantz and H. R. Parks, A Primer of Real Analytic Functions, 2nd ed., Birkhäuser, Boston, 2002.
S. G. Krantz and H. R. Parks, The Geometry of Domains in Space, Birkhäuser, Boston, 1996.
S. G. Krantz and H. R. Parks, The Implicit Function Theorem, Birkhäuser, Boston, 2002.
S. G. Krantz and H. R. Parks, Distance to C k manifolds, Jour. Diff. Equations 40(1981), 116–120.
S. G. Krantz and M. M. Peloso, The Bergman kernel and projection on non-smooth worm domains, Houston J. Math. 34 (2008), 873–950.
S. G. Krantz and M. M. Peloso, Analysis and geometry on worm domains, J. Geom. Anal. 18(2008), 478–510.
S. G. Krantz, M. M. Peloso, and C. Stoppato, Bergman kernel and projection on the unbounded Diederich–Fornæss worm domain, Annali della Scuola Normale Superiore, to appear.
S. G. Krantz, M. M. Peloso, and C. Stoppato, Completeness on the worm domain and the Müntz–Szász problem for the Bergman space, preprint.
L. Lanzani, Harmonic analysis techniques in several complex variables, Bruno Pini Mathematical Analysis Seminar 2014, 83–110, Bruno Pini Math. Anal. Semin., 2014, Univ. Bologna, Alma Mater Stud., Bologna, 2014.
L. Lanzani and E. M. Stein, Cauchy-type integrals in several complex variables. Bull. Math. Sci. 3 (2013), 241–285.
L. Lempert, La metrique Kobayashi et la representation des domains sur la boule, Bull. Soc. Math. France 109(1981), 427–474.
L. Lempert, Boundary behaviour of meromorphic functions of several variables, Acta Math. 144(1980), 1–25.
L. Lempert, A precise result on the boundary regularity of biholomorphic mappings, Math. Z. 193(1986), 559–579.
H. Lewy, An example of a smooth linear partial differential equation without solution, Ann. of Math. 66(1957), 155–158.
H. Lewy, On the boundary behavior of holomorphic mappings, Acad. Naz. Lincei 35(1977), 1–8.
S.-Y. Li, On the Neumann problems for complex Monge–Ampère equations, Indiana University J. of Math, 43(1994), 1099–1122.
S.-Y. Li, D. Wei, On the rigidity theorem for harmonic functions in Kähler metric of Bergman type, Sci. China Math. 53(2010), 779–790.
E. Ligocka, On orthogonal projections onto spaces of pluriharmonic functions and duality, Studia Math. 84(1986), 279–295.
E. Ligocka, Remarks on the Bergman kernel function of a worm domain, Studia Mathematica 130(1998), 109–113.
J.-L. Lions and J. Peetre, Sur une classe d’espaces d’interpolation. (French), Inst. Hautes Études Sci. Publ. Math. 19(1964), 5–68.
J.-L. Lions and J. Peetre, Propriétés d’espaces d’interpolation. (French), C. R. Acad. Sci. Paris 253(1961), 1747–1749.
A. Malaspina, A brothers Riesz theorem in the theory of holomorphic functions of several complex variables, Homage to Gaetano Fichera, 273–288, Quad. Mat., 7, Dept. Math., Seconda Univ. Napoli, Caserta, 2000.
X. Ma and G. Marinescu, Holomorphic Morse Inequalities and Bergman Kernels, Progress in Mathematics, 254. Birkhäuser Verlag, Basel, 2007. xiv+422 pp.
V. A. Menegatto, A. P. Peron, Positive definite kernels on complex spheres, J. Math. Anal. Appl. 254(2001), 219–232.
B. Min, thesis, Washington University, 2011.
A. Nagel, J.-P. Rosay, E. M. Stein, and S. Wainger, Estimates for the Bergman and Szegő kernels in \(\mathbb{C}^{2},\) Ann. Math. 129(1989), 113–149.
A. Nagel and W. Rudin, Local boundary behavior of bounded holomorphic functions, Can. Jour. Math. 30(1978), 583–592.
A. Nagel and E. M. Stein, On certain maximal functions and approach regions, Adv. in Math. 54(1984), 83–106.
A. Nagel and E. M. Stein, Lectures on Pseudodifferential Operators: Regularity Theorems and Applications to Nonelliptic Problems, Mathematical Notes, 24, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1979.
A. Nagel, E. M. Stein, and S. Wainger, Boundary behavior of functions holomorphic in domains of finite type, Proc. Nat. Acad. Sci. USA 78(1981), 6596–6599.
A. Nagel, E. M. Stein, and S. Wainger, Balls and metrics defined by vector fields, I. Basic properties. Acta Math. 155(1985), 103–147.
C. Nana, L ∞-estimates of the Bergman projection in the Lie ball of \(\mathbb{C}^{n}\), J. Funct. Spaces Appl. 9(2011), 109–128.
Y. A. Neretin, On the separation of spectra in the analysis of Berezin kernels (Russian), Funktsional. Anal. i Prilozhen 34(2000), 49–62, 96; translation in Funct. Anal. Appl. 34(2000), 197–207.
L. Nirenberg, S. Webster, and P. Yang, Local boundary regularity of holomorphic mappings. Comm. Pure Appl. Math. 33(1980), 305–338.
T. Ohsawa, A remark on the completeness of the Bergman metric, Proc. Japan Acad. Ser. A Math. Sci., 57(1981), 238–240.
T. Ohsawa and K. Takegoshi, On the extension of L 2 holomorphic functions, Math. Z. 195(1987), 197–204.
P. Painlevé, Sur les lignes singulières des functions analytiques, Thèse, Gauthier-Villars, Paris, 1887.
R. E. A. C. Paley and N. Wiener, Fourier Transforms in the Complex Domain, Reprint of the 1934 original, American Mathematical Society Colloquium Publications, 19, American Mathematical Society, Providence, RI, 1987.
J. Peetre, The Berezin transform and Ha-Plitz operators, J. Operator Theory 24(1990), 165–186.
D. H. Phong and E. M. Stein, Hilbert integrals, singular integrals, and Radon transforms, I, Acta Math. 157(1986), 99–157.
S. Pinchuk, On the analytic continuation of holomorphic mappings, Mat. Sb. 98(140)(1975), 375–392; Mat. U.S.S.R. Sb. 27(1975), 416–435.
S. Pinchuk and S. V. Hasanov, Asymptotically holomorphic functions (Russian), Mat. Sb. 134(176) (1987), 546–555.
S. I. Pinchuk and S. I. Tsyganov, Smoothness of CR-mappings between strictly pseudoconvex hypersurfaces, (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 53(1989), 1120–1129, 1136; translation in Math. USSR-Izv. 35(1990), 457–467.
I. Priwalow, Randeigenschaften Analytischer Funktionen, Deutsch Verlag der Wissenschaften, Berlin, 1956.
I. Ramadanov, Sur une propriété de la fonction de Bergman, C. R. Acad. Bulgare Sci. 20(1967), 759–762.
I. Ramadanov, A characterization of the balls in \(\mathbb{C}^{n}\) by means of the Bergman kernel, C. R. Acad. Bulgare Sci. 34(1981), 927–929.
E. Ramirez, Divisions problem in der komplexen analysis mit einer Anwendung auf Rand integral darstellung, Math. Ann. 184(1970), 172–187.
R. M. Range, A remark on bounded strictly plurisubharmonic exhaustion functions, Proc. A.M.S. 81(1981), 220–222.
R. M. Range, Holomorphic Functions and Integral Representations in Several Complex Variables, Springer Verlag, Berlin, 1986.
B. Rodin and S. Warschawski, Estimates of the Riemann mapping function near a boundary point, in Romanian-Finnish Seminar on Complex Analysis, Springer Lecture Notes, vol. 743, 1979, 349–366.
J.-P. Rosay, Sur une characterization de la boule parmi les domains de \(\mathbb{C}^{n}\) par son groupe d’automorphismes, Ann. Inst. Four. Grenoble XXIX(1979), 91–97.
L. P. Rothschild and E. M. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1976), 247–320.
L. A. Rubel and A. Shields, The failure of interior-exterior factorization in the polydisc and the ball, Tôhoku Math. J. 24(1972), 409–413.
W. Rudin, Lumer’s Hardy spaces, Michigan Math. J. 24(1977), 1–5.
W. Rudin, Functional Analysis, McGraw-Hill, New York, 1973.
W. Rudin, Function Theory in the Unit Ball of \(\mathbb{C}^{n}\), Springer, Berlin, 1980.
D. Sarason, Functions of vanishing mean oscillation, Trans. Amer. Math. Soc. 207(1975), 391–405.
S. Semmes, A generalization of Riemann mappings and geometric structures on a space of domains in \(\mathbb{C}^{n},\) Memoirs of the American Mathematical Society, 1991.
J.-P. Serre, Lie algebras and Lie groups, Lectures given at Harvard University, 1964, W. A. Benjamin, Inc., New York-Amsterdam, 1965.
G. Sheng, Singular Integrals in Several Complex Variables, Oxford University Press, 1991.
A. B. Shishkin, Spectral synthesis for systems of differential operators with constant coefficients. The duality theorem (Russian) Mat. Sb. 189(1998), no. 9, 143–160; translation in Sb. Math. 189(1998), 1423–1440.
N. Sibony, Prolongement analytique des fonctions holomorphes bornées. (French) C. R. Acad. Sci. Paris Sér. A-B 275(1972), A973–A976.
N. Sibony, Un exemple de domain pseudoconvexe regulier ou l’equation \(\overline{\partial }u = f\) n’admet pas de solution bornee pour f bornee, Invent. Math. 62(1980), 235–242.
Y.-T. Siu, The \(\overline{\partial }\) problem with uniform bounds on derivatives, Math. Ann. 207(1974), 163–176.
H. Skoda, Valeurs au bord pour les solutions de l’operateur d″ et caracterization des zeros des fonctions de la classe Nevanlinna, Bull. Soc. Math. de France 104(1976), 225–229.
M. Skwarczynski, The distance in the theory of pseudo-conformal transformations and the Lu Qi-King conjecture, Proc. A.M.S. 22(1969), 305–310.
K. T. Smith, A generalization of an inequality of Hardy and Littlewood, Canad. J. Math. 8(1956), 157–170.
D. C. Spencer, Overdetermined systems of linear partial differential equations, Bull. Am. Math. Soc. 75(1969), 179–239.
E. M. Stein, The Boundary Behavior of Holomorphic Functions of Several Complex Variables, Princeton University Press, Princeton, NJ, 1972.
E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, with the assistance of Timothy S. Murphy, Princeton University Press, Princeton, NJ, 1993.
E. M. Stein, On the functions of Littlewood-Paley, Lusin and Marcinkiewicz, Trans. Amer. Math. Soc. 88(1958), 4430–466.
E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, NJ, 1970.
E. M. Stein, The development of square functions in the work of A. Zygmund, Bull. Amer. Math. Soc. 7(1982), 359–376.
E. M. Stein, Singular integrals and estimates for the Cauchy–Riemann equations, Bull. Amer. Math. Soc. 79(1973), 440–445.
E. M. Stein and G. Weiss, On the theory of harmonic functions of several variables, Acta Math. 103(1960), 25–62.
E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Space, Princeton University Press, Princeton, NJ, 1971.
N. Suita and A. Yamada, On the Lu Qi-Keng conjecture, Proc. A.M.S. 59(1976), 222–224.
G. Szegő, Über orthogonalsysteme von Polynomen, Math. Z. 4(1919), 139–151.
M. Taibleson, The preservation of Lipschitz spaces under singular integral operators, Studia Math. 24(1964), 107–111.
Tanaka, On generalized graded Lie algebras and geometric structures, I, J. Math. Soc. Japan 19(1967), 215–254.
M. E. Taylor, Pseudodifferential Operators, Princeton University Press, Princeton, 1981.
G. B. Thomas, Calculus and Analytic Geometry, alternate ed., Addison-Wesley, Reading, MA, 1972.
F. Treves, Introduction to Pseudodifferential and Fourier Integral Operators, Vol. II, Plenum Press, New York 1982.
A. Uchiyama, A constructive proof of the Fefferman–Stein decomposition of \(BMO(\mathbb{R}^{n})\), Acta Math. 148(1982), 215–241.
N. T. Varopoulos, Zeros of H p functions in several complex variables,Pacific J. Math. 88(1980), 189–246.
R. Wada, Explicit formulas for the reproducing kernels of the space of harmonic polynomials in the case of classical real rank 1, Sci. Math. Jpn. 65(2007), 387–406.
S. Warschawski, On differentiability at the boundary in conformal mapping, Proc. Amer. Math. Soc. 12(1961), 614–620.
S. Warschawski, On the boundary behavior of conformal maps, Nagoya Math. Jour. 30(1967), 83–101.
S. Warschawski, On Hölder continuity at the boundary in conformal maps, J. Math. Mech. 18(1968/1969), 423–427.
S. Warschawski, On boundary derivations in conformal mapping, Ann. Acad. Sci. Fenn. Ser. A I No. 420 (1968), 22 pp.
S. Webster, Biholomorphic mappings and the Bergman kernel off the diagonal, Invent. Math. 51(1979), 155–169.
S. Webster, On the reflection principle in several complex variables, Proc. Amer. Math. Soc. 71(1978), 26–28.
R. O. Wells, Differential Analysis on Complex Manifolds, 2nd ed., Springer Verlag, New York, 1979.
H. Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc. 36(1934), 63–89.
E. Whittaker and G. Watson, A Course of Modern Analysis, 4th ed., Cambridge Univ. Press, London, 1935.
K. O. Widman, On the boundary behavior of solutions to a class of elliptic partial differential equations, Ark. Mat. 6(1966), 485–533.
J. Wiegerinck, Domains with finite dimensional Bergman space, Math. Z. 187(1984), 559–562.
B. Wong, Characterizations of the ball in \(\mathbb{C}^{n}\) by its automorphism group, Invent. Math. 41(1977), 253–257.
Z. X. Yao, A new proof for boundary behavior of the Poisson-Hua integrals on the unit ball of \(\mathbb{C}^{n}\) (Chinese), Math. Practice Theory 32(2002), 523–528.
S.-T. Yau, Problem section, Seminar on Differential Geometry, S.-T. Yau ed., Annals of Math. Studies, vol. 102, Princeton University Press, 1982, 669–706.
C. Yin, A note on property of Cauchy integral on classical domains, Chinese Quart. J. Math. 13(1998), 41–43.
K. Zhu, Spaces of Holomorphic Functions in the Unit Ball, Springer, New York, 2005.
A. Zygmund, A remark on functions of several complex variables, Acta Sci. Math. Szeged 12(1950), 66–88.
A. Zygmund, Une remarque sur un théorème de M. Kaczmarz, Math. Z. 25(1926), 297–298.
A. Zygmund, Trigonometric Series, 3rd. ed., Cambridge University Press, Cambridge, 2002.
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Krantz, S.G. (2017). A Few Miscellaneous Topics. In: Harmonic and Complex Analysis in Several Variables. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-63231-5_11
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