EUDML | Biholomorphic Mappings and the Bergman kernel off the Diagonal.

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Displaying similar documents to “Biholomorphic Mappings and the Bergman kernel off the Diagonal.”

Remarks on the Bergman kernel function of a worm domain

Ewa Ligocka (1998)

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We use a recent result of M. Christ to show that the Bergman kernel function of a worm domain cannot be $C^{\infty}$ -smoothly extended to the boundary.

Estimates of the Bergman kernel function on certain pseudoconvex domains in Cn.

Sanghyun Cho (1996)

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The Bergman kernel functions of certain unbounded domains

Friedrich Haslinger (1998)

Annales Polonici Mathematici

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We compute the Bergman kernel functions of the unbounded domains $Ω_{p} = (z^{'}, z) \in ℂ ² : z > p (z^{'})$ , where $p (z^{'}) = {| z^{'} |}^{α} / α$ . It is also shown that these kernel functions have no zeros in $Ω_{p}$ . We use a method from harmonic analysis to reduce the computation of the 2-dimensional case to the problem of finding the kernel function of a weighted space of entire functions in one complex variable.

Non-Vanishing of the Bergman Kernel Function at Boundary Points of Certain Domains in Cn .

Steven R. Bell (1979)

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The Hölder continuity of the Bergman projection and proper holomorphic mappings

Ewa Ligocka (1984)

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The Bergman Kernel on Uniformly Extendable Pseudoconvex Domains.

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Bergman completeness of Zalcman type domains

Piotr Jucha (2004)

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We give an equivalent condition for Bergman completeness of Zalcman type domains. This also solves a problem stated by Pflug.

Stefan Bergman (1895--1977) in Memoriam

M. M. Schiffer (1981)

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The Bergmann Kernel and Biholomorphic Mappings of Pseudokonvex Domains.

Charles Feffermann (1974)

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Regularity of the Bergman Projection in Weakly Pseudoconvex Domains.

Steven R. Bell, Harold P. Boas (1981)

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How to prove Fefferman's theorem without use of differential geometry

Ewa Ligocka (1981)

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Exact regularity of the Bergman and Szegö projections on domains with partially transverse symmetries.

So-Chin Chen, E.J. Straube, H. Boas (1988)

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An application of Bergman-Whittaker operator

V. Marić (1974)

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Complete Hartogs Domains in C2 have Regular Bergman and Szegö Projections.

Harold P. Boas, Emil J. Straube (1989)

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