Bergman coordinates

Steven R. Bell

Displaying similar documents to “Bergman coordinates”

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 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.

Bergman completeness of complete circular domains

M. Jarnicki, P. Pflug (1989)

Annales Polonici Mathematici

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An application of Bergman-Whittaker operator

V. Marić (1974)

Publications de l'Institut Mathématique

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Stefan Bergman (1895--1977) in Memoriam

M. M. Schiffer (1981)

Annales Polonici Mathematici

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A general description of the Bergman projection

Maciej Skwarczyński (1985)

Annales Polonici Mathematici

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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.

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

Sanghyun Cho (1996)

Mathematische Zeitschrift

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

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

Mathematische Zeitschrift

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Domains with Finite Dimensional Bergman Space.

Wiegerinck, Jan J.O.O. (1984)

Mathematische Zeitschrift

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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.

On Bergman completeness of pseudoconvex Reinhardt domains

Włodzimierz Zwonek (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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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)

Manuscripta mathematica

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

Ewa Ligocka (1981)

Annales Polonici Mathematici

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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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