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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
Affiliation:
Department of Mathematics, University of Toledo, Toledo, OH 43606-3390, U.S.A. e-mail: zcuckovi@math.utoledo.edu
RUHAN ZHAO
Affiliation:
Department of Mathematics, SUNY-Brockport, Brockport, NY 14420, U.S.A. e-mail: rzhao@brockport.edu

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
Copyright
Copyright © Cambridge Philosophical Society 2007

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