Domains with Finite Dimensional Bergman Space.
Wiegerinck, Jan J.O.O. (1984)
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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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.
David E. Barrett (1981)
Mathematische Annalen
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Emil J. Straube (1986)
Mathematische Zeitschrift
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So-Chin Chen, E.J. Straube, H. Boas (1988)
Manuscripta mathematica
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M. Jarnicki, P. Pflug (1989)
Annales Polonici Mathematici
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So-Chin Chen (1987)
Mathematische Annalen
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Philippe Charpentier, Aline Bonami (1990)
Mathematische Zeitschrift
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N. Watts Gebelt (1995)
Mathematische Zeitschrift
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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...
Takeo Ohsawa, Klaus Diederich, Gregor Herbort (1985/86)
Mathematische Annalen
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Steven R. Bell, Harold P. Boas (1981)
Mathematische Annalen
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Steven R. Bell (1979)
Mathematische Annalen
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