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Bergman completeness of unbounded hartogs Domains

Published online by Cambridge University Press:  11 January 2016

Peter Pflug  and
Włodzimierz Zwonek
Peter Pflug
Affiliation:
Carl von Ossietzky Universität Oldenburg Institut für MathematikPostfach 2503 D-26111 OldenburgGermanypflug@mathematik.uni-oldenburg.de
Włodzimierz Zwonek
Affiliation:
Uniwersytet Jagielloński Instytut MatematykiReymonta 4 30-059Kraków PolandWlodzimierz.Zwonek@im.uj.edu.pl
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Abstract

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Some results for the Bergman functions in unbounded domains are shown. In particular, a class of unbounded Hartogs domains, which are Bergman complete and Bergman exhaustive, is given.

Keywords

32A0732F4532A2532U3530C85
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 180 , 2005 , pp. 121 - 133
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2005

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