References
A. Aleksandrov and P. Kargaev,Hardy classes of functions that are harmonic in a half-space, Algebra & Analysis5 (1993), no. 2, 1–73 (Russian); English transi.: St. Petersburg Math. J.5 (1994), 229–286.
C. Bennett and R. Sharpley,Interpolation of Operators, Academic Press, London, 1988.
M. Essén,Some best constants inequalities for conjugate functions, Internat. Ser. Numer. Math.103, Birkhäuser, Basel, 1992.
M. Essén, D. F. Shea and Ch. S. Stanton,Best constants inequalities for conjugate functions, J. Comput. Appl. Math.105 (1999), 257–264.
M. Essén, D. F. Shea and Ch. S. Stanton,Sharp L logαL inequalities for conjugate functions, Institute Mittag-Leffler Report No. 37, 1999/2000.
T. W. Gamelin,Uniform Algebras and Jensen Measures, London Math. Soc. Lecture Note Series, Cambridge University Press, 1978.
A.A. Goldberg and I. V. Ostrovskii,Value Distribution of Meromorphic Functions, Nauka, Moscow, 1970 (Russian).
B. Khabibullin,Sets of uniqueness in spaces of entire functions of one variable, Math. USSR Izv.39 (1992), 1063–1083.
P. Koosis,Introduction to Hp Spaces, 2nd edn., Cambridge University Press, 1998.
P. Koosis,Leçons sur le théorème de Beurling et Malliavin, Les Publications CRM, Montréal, 1996.
B. Ya. Levin,On functions holomorphic in a half-plane, Travaux de l’Université d’Odessa (Math)3 (1941), 5–14 (Russian).
B. Ya. Levin,Lectures on Entire Functions, Transi. Math. Monographs, Vol. 150, Amer. Math. Soc., Providence, RI, 1996.
B. Ya. Levin and I. V. Ostrovskii,The dependence of the growth of an entire function on the distribution of the zeros of its derivatives, Sibirsk. Mat. Zh.1 (1960), 427–455 (in Russian); English transi.: Amer. Math. Soc. Transi. (2)32 (1963), 323–357.
V. Matsaev and M. Sodin,Variations on the theme of M. Riesz and Kolmogorov, Intern. Math. Res. Notices, no.6 (1999), 287–297.
V. Matsaev and M. Sodin,Distribution of the Hilbert transforms of measures, Geom. Funct. Anal.10 (2000), 160–184.
V. Matsaev and M. Sodin,Compact operators with Sp-imaginary component and entire functions, inEntire Functions in Modern Analysis, Boris Levin Memorial Conference, Israel Math. Conf. Proc., Vol. 15, to appear.
R. Nevanlinna,Über die Eigenschaften meromorpher Funktionen in einem Winkelraum, Acta Soc. Sci. Fenn.50, no. 12 (1925).
M. Tsuji,On Borel’s directions of meromorphic functions of finite order, Tôhoku Math. J.2 (1950), 97–112.
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Supported in part by the Israel Science Foundation of the Israel Academy of Sciences and Humanities under Grants Nos. 93/97-1 and 37/00-1.
Supported in part by the INTAS Project No. 96-0858.
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Matsaev, V., Ostrovskii, I. & Sodin, M. Variations on the theme of Marcinkiewicz’ inequality. J. Anal. Math. 86, 289–317 (2002). https://doi.org/10.1007/BF02786653
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DOI: https://doi.org/10.1007/BF02786653