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The canonical solution operator of on weighted spaces with holomorphic coefficients

✍ Scribed by Wolfgang Knirsch

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 142 KB
Volume: 265
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310134

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✦ Synopsis

Abstract

On weighted spaces with strictly plurisubharmonic weightfunctions the canonical solution operator of $ {\bar \partial } $ and the $ {\bar \partial } $‐Neumann operator are bounded. In this paper we find a class of strictly plurisubharmonic weightfunctions with certain growth conditions, so that they are Hilbert‐Schmidt operators between weighted spaces with different weightfunctions, if they are restricted to forms with holomorphic coefficients. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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