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The Ohsawa-Takegoshi Extension Theorem on Some Unbounded Sets

Published online by Cambridge University Press:  11 January 2016

Żywomir Dinew
Żywomir Dinew*
Affiliation:
Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Kraków, Poland, Zywomir.Dinew@im.uj.edu.pl
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Abstract

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We use a method of Berndtsson to obtain a simplification of Ohsawa’s result concerning extension of L 2-holomorphic functions. We also study versions of the Ohsawa-Takegoshi theorem for some unbounded pseudoconvex domains, with an application to the theory of Bergman spaces. Using these methods we improve some constants, that arise in related inequalities.

Keywords

32D1532A36

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 188 , December 2007, pp. 19 - 30
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

References

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