Estimates of the Bergman kernel function on certain pseudoconvex domains in Cn.
Sanghyun Cho (1996)
Mathematische Zeitschrift
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Sanghyun Cho (1996)
Mathematische Zeitschrift
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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.
Philippe Charpentier, Aline Bonami (1990)
Mathematische Zeitschrift
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Friedrich Haslinger (1998)
Annales Polonici Mathematici
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We compute the Bergman kernel functions of the unbounded domains , where . It is also shown that these kernel functions have no zeros in . 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.
A. Bonami, D.-C. Chang, S. Grellier (1996)
Mathematische Zeitschrift
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Harold P. Boas, Emil J. Straube (1989)
Mathematische Zeitschrift
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Takeo Ohsawa, Klaus Diederich, Gregor Herbort (1985/86)
Mathematische Annalen
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Joe Kamimoto (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Emil J. Straube (1986)
Mathematische Zeitschrift
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N. Watts Gebelt (1995)
Mathematische Zeitschrift
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Wiegerinck, Jan J.O.O. (1984)
Mathematische Zeitschrift
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So-Chin Chen (1993)
Mathematische Zeitschrift
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Steven R. Bell (1979)
Mathematische Annalen
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