WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE

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...

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Veröffentlicht in:Journal of the London Mathematical Society 2004-10, Vol.70 (2), p.499-511
Hauptverfasser: C˘UC˘KOVIĆ, Z˘ELJKO, ZHAO, RUHAN
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creator C˘UC˘KOVIĆ, Z˘ELJKO
ZHAO, RUHAN
description 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.
doi_str_mv 10.1112/S0024610704005605
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title WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
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