The Bergman kernel functions of certain unbounded domains

Friedrich Haslinger

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

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.

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

Sanghyun Cho (1996)

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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.

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

Joe Kamimoto (1998)

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An application of Bergman-Whittaker operator

V. Marić (1974)

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Bergman coordinates

Steven R. Bell (2006)

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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)

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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)

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

Steven R. Bell (1979)

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The Bergman Kernel on Uniformly Extendable Pseudoconvex Domains.

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A general description of the Bergman projection

Maciej Skwarczyński (1985)

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

Gregor Herbort (1983)

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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.