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An example concerning Bergman completeness

Published online by Cambridge University Press:  22 January 2016

Włodzimierz Zwonek*
Affiliation:
Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland, zwonek@im.uj.edu.pl
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Abstract

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We construct a bounded plane domain which is Bergman complete but for which the Bergman kernel does not tend to infinity as the point approaches the boundary.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2001