EUDML | Remarks on the Bergman kernel function of a worm domain

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Displaying similar documents to “Remarks on the Bergman kernel function of a worm domain”

On the orthogonal projections onto spaces of pluriharmonic functions and duality

Ewa Ligocka (1986)

Studia Mathematica

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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.

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

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

Manuscripta mathematica

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The Bergman projection on harmonic functions

Ewa Ligocka (1987)

Studia Mathematica

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Bergman completeness of Zalcman type domains

Piotr Jucha (2004)

Studia Mathematica

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

The Hölder continuity of the Bergman projection and proper holomorphic mappings

Ewa Ligocka (1984)

Studia Mathematica

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Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in $𝐂^{2}$

Joe Kamimoto (1998)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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On the Forelli-Rudin construction and weighted Bergman projections

Ewa Ligocka (1989)

Studia Mathematica

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Exact Regularity of Bergman, Szegö and Sobolev Space Projections in Non Pseudoconvex Domains.

Emil J. Straube (1986)

Mathematische Zeitschrift

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

Steven R. Bell (1979)

Mathematische Annalen

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On Bergman completeness of pseudoconvex Reinhardt domains

Włodzimierz Zwonek (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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