Extendibility of the Bergman kernel function

D. Barrett, Regularity of the Bergman projection and local geometry of domains, Duke Math. J. 53 (1986), 333–343.
Article MathSciNet MATH Google Scholar
S. Bell, Differentiability of the Bergman kernel and pseudo-local estimates, Math. Zeit.192 (1986), 467–472.
Article MATH Google Scholar
S. Bell, Biholomorphic mappings and the ∂-problem, Ann. of Math. 114 (1981), 103–113.
Article MathSciNet MATH Google Scholar
S. Bell, Boundary behavior of holomorphic mappings, Several Complex Variables: Proceedings of the 1981 Hangzhou Conference, Birkhauser, 1984.
Google Scholar
D. Catlin, Necessary conditions for subellipticity of the ∂-Neumann problem, Ann. of Math. 117 (1983), 147–171.
Article MathSciNet MATH Google Scholar
J. P. D’Angelo, Real hypersurfaces, orders of contact, and applications, Ann. Math. 115 (1982), 615–637.
Article MathSciNet MATH Google Scholar
N. Kerzman, The Bergman kernel function. Differentiability at the boundary, Math. Ann. 195 (1972), 149–158.
Article MathSciNet Google Scholar
J. J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds I and II, Ann. of Math. 78 (1963), 112–148 and Ann. of Math. 79 (1964), 450–472.
Article MathSciNet MATH Google Scholar
J. J. Kohn, A survey of the ∂-Neumann problem, Proc. Symp. Pure Math. 41, Amer. Math. Soc., Providence, 1984.
Book MATH Google Scholar
D. Tartakoff, The local real analyticity of solutions to □; and the ∂-Neumann problem, Acta Math. 145 (1980), 177–204.
Article MathSciNet MATH Google Scholar
F. Trevès, Analyitc hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the ∂-Neumann problem, Comm. Partial Differential Equations 3 (1978), 475–642.
Article MathSciNet MATH Google Scholar

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Purdue University, 47907, W. Lafayette, IN
S. Bell

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Carlos A. Berenstein

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Bell, S. (1987). Extendibility of the Bergman kernel function. In: Berenstein, C.A. (eds) Complex Analysis II. Lecture Notes in Mathematics, vol 1276. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078952

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DOI: https://doi.org/10.1007/BFb0078952
Published: 20 September 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18357-0
Online ISBN: 978-3-540-47904-8
eBook Packages: Springer Book Archive

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