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Summer 2007 Weighted composition operators between different weighted Bergman spaces and different Hardy spaces
Zeljko Cucković, Ruhan Zhao
Illinois J. Math. 51(2): 479-498 (Summer 2007). DOI: 10.1215/ijm/1258138425

Abstract

We characterize bounded and compact weighted composition operators acting between weighted Bergman spaces and between Hardy spaces. Our results use certain integral transforms that generalize the Berezin transform. We also estimate the essential norms of these operators. As applications, we characterize bounded and compact pointwise multiplication operators between weighted Bergman spaces and estimate their essential norms.

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Zeljko Cucković. Ruhan Zhao. "Weighted composition operators between different weighted Bergman spaces and different Hardy spaces." Illinois J. Math. 51 (2) 479 - 498, Summer 2007. https://doi.org/10.1215/ijm/1258138425

Information

Published: Summer 2007
First available in Project Euclid: 13 November 2009

zbMATH: 1147.47021
MathSciNet: MR2342670
Digital Object Identifier: 10.1215/ijm/1258138425

Subjects:
Primary: 47B33
Secondary: 30D55 , ‎46E15

Rights: Copyright © 2007 University of Illinois at Urbana-Champaign

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Vol.51 • No. 2 • Summer 2007
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