The Bergman kernel on certain weakly pseudoconvex domains.

N. Watts Gebelt

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

Sanghyun Cho (1996)

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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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Regularity of the Bergman Projection in Weakly Pseudoconvex Domains.

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

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The Bergman Kernel on Uniformly Extendable Pseudoconvex Domains.

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

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

Joe Kamimoto (1998)

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Peak Sets in Weakly Pseudoconvex Domains.

Andrei Iordan (1984/85)

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The Mergelyan Property for Weakly Pseudoconvex Domains.

J.E. Fornaess, A. Nagel (1977)

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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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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.

On Bergman completeness of pseudoconvex Reinhardt domains

Włodzimierz Zwonek (1999)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Domains with Finite Dimensional Bergman Space.

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

Mathematische Zeitschrift

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