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Some spectral properties of the canonical solution operator to on weighted Fock spaces

✍ Scribed by Olivia Constantin; Joaquim Ortega-Cerdà

Book ID
108178816
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
175 KB
Volume
377
Category
Article
ISSN
0022-247X

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## 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,

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✍ Georg Schneider 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 121 KB 👁 1 views

## Abstract We consider the canonical solution operator to $ \bar \partial $ restricted to (0, 1)‐forms with coefficients in the generalized Fock‐spaces equation image We will show that the canonical solution operator restricted to (0, 1)‐forms with $ {\cal F}{m} $‐coefficients can be interpreted