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WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE

Published online by Cambridge University Press:  01 October 2004

Z˘ELJKO C˘UC˘KOVIĆ  and
RUHAN ZHAO
Z˘ELJKO C˘UC˘KOVIĆ
Affiliation:
Department of Mathematics, University of Toledo, Toledo, OH 43606-3390, USAzcuckovi@math.utoledo.eduruhan.zhao@utoledo.edu
RUHAN ZHAO
Affiliation:
Department of Mathematics, University of Toledo, Toledo, OH 43606-3390, USAzcuckovi@math.utoledo.eduruhan.zhao@utoledo.edu
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Abstract

Bounded, compact and Schatten class weighted composition operators on the Bergman space are characterized by the use of generalized Berezin transforms. An estimate of the essential norms of weighted composition operators on the Bergman space is given. Most of the results remain true for Hardy spaces and weighted Bergman spaces.

Keywords

47B38 (primary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 499 - 511
Copyright
The London Mathematical Society 2004

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