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Application and simplified proof of a sharp L2 extension theorem

Part of: Pseudoconvex domains Holomorphic functions of several complex variables

Published online by Cambridge University Press:  11 January 2016

Takeo Ohsawa
Takeo Ohsawa*
Affiliation:
Graduate School of Mathematics, Nagoya University, Nagoya, Japan, ohsawa@math.nagoya-u.ac.jp
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Abstract

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As an application of a sharp L2 extension theorem for holomorphic functions in Guan and Zhou, a stability theorem for the boundary asymptotics of the Bergman kernel is proved. An alternate proof of the extension theorem is given, too. It is a simplified proof in the sense that it is free from ordinary differential equations.

MSC classification

Secondary: 32A36: Bergman spaces 32T27: Geometric and analytic invariants on weakly pseudoconvex boundaries
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 220 , December 2015 , pp. 81 - 89
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2015

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