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Essential norm estimates of weighted composition operators between Bergman spaces on strongly pseudoconvex domains

Published online by Cambridge University Press:  01 May 2007

ŽELJKO ČUČKOVIĆ  and
RUHAN ZHAO
ŽELJKO ČUČKOVIĆ
Affiliation:
Department of Mathematics, University of Toledo, Toledo, OH 43606-3390, U.S.A. e-mail: [email protected]
RUHAN ZHAO
Affiliation:
Department of Mathematics, SUNY-Brockport, Brockport, NY 14420, U.S.A. e-mail: [email protected]
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Abstract

We give estimates of the essential norms of weighted composition operators acting between Bergman spaces on strongly pseudoconvex domains. We also characterize boundedness and compactness of these operators.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 142 , Issue 3 , May 2007 , pp. 525 - 533
Copyright
Copyright © Cambridge Philosophical Society 2007

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