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ON R-SECTORIAL DERIVATIVES ON BERGMAN SPACES

Part of: Holomorphic functions of several complex variables Groups and semigroups of linear operators, their generalizations and applications

Published online by Cambridge University Press:  01 April 2008

TOMÁŠ BÁRTA
TOMÁŠ BÁRTA*
Affiliation:
Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague, Sokolovska 83, 180 00 Prague 8, Czech Republic (email: barta@karlin.mff.cuni.cz)
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Abstract

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In this paper we show boundedness of vector-valued Bergman projections on simple connected domains. With this result we show R-sectoriality of the derivative on the Bergman space on C+ and maximal Lp-regularity for an integrodifferential equation with a kernel in the Bergman space.

Keywords

Bergman projectionR-sectorialityintegrodifferential equationsmaximal regularity

MSC classification

Secondary: 47D06: One-parameter semigroups and linear evolution equations 32A36: Bergman spaces
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 2 , April 2008 , pp. 305 - 313
Copyright
Copyright © 2008 Australian Mathematical Society

References

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