The Bergman kernel functions of certain unbounded domains

Friedrich Haslinger

Displaying similar documents to “The Bergman kernel functions of certain unbounded domains”

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.

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

Sanghyun Cho (1996)

Mathematische Zeitschrift

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Remarks on the Bergman kernel function of a worm domain

Ewa Ligocka (1998)

Studia Mathematica

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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.

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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An application of Bergman-Whittaker operator

V. Marić (1974)

Publications de l'Institut Mathématique

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Bergman coordinates

Steven R. Bell (2006)

Studia Mathematica

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Various incarnations of Stefan Bergman's notion of representative coordinates will be given that are useful in a variety of contexts. Bergman wanted his coordinates to map to canonical regions, but they fail to do this for multiply connected regions. We show, however, that it is possible to define generalized Bergman coordinates that map multiply connected domains to quadrature domains which satisfy a long list of desirable properties, making them excellent candidates to be called Bergman...

Stefan Bergman (1895--1977) in Memoriam

M. M. Schiffer (1981)

Annales Polonici Mathematici

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Estimates for the Bergman kernel and metric of convex domains in ℂⁿ

Nikolai Nikolov, Peter Pflug (2003)

Annales Polonici Mathematici

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Sharp geometrical lower and upper estimates are obtained for the Bergman kernel on the diagonal of a convex domain D ⊂ ℂⁿ which does not contain complex lines. It is also proved that the ratio of the Bergman and Carathéodory metrics of D does not exceed a constant depending only on n.

The Bergman kernel on certain weakly pseudoconvex domains.

N. Watts Gebelt (1995)

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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The Bergman Kernel on Uniformly Extendable Pseudoconvex Domains.

Takeo Ohsawa, Klaus Diederich, Gregor Herbort (1985/86)

Mathematische Annalen

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A general description of the Bergman projection

Maciej Skwarczyński (1985)

Annales Polonici Mathematici

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Logarithmic Growth of the Bergman Kernel for Weakly Pseudoconvex Domains in ...3 of Finite Type.

Gregor Herbort (1983)

Manuscripta mathematica

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On some extremal problems in Bergman spaces in weakly pseudoconvex domains

Romi F. Shamoyan, Olivera R. Mihić (2018)

Communications in Mathematics

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We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $ℂ^{n}$ based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_{α}^{p}$ in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula.