Weighted Composition Operators from the Bloch Space to Weighted Banach Spaces on Bounded Homogeneous Domains
Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 236–248
Abstract
We study the bounded and the compact weighted composition operators from the Bloch space into the weighted Banach spaces of holomorphic functions on bounded homogeneous domains, with particular attention to the unit polydisk. For bounded homogeneous domains, we characterize the bounded weighted composition operators and determine the operator norm. In addition, we provide sufficient conditions for compactness. For the unit polydisk, we completely characterize the compact weighted composition operators, as well as provide "computable" estimates on the operator norm.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n2.9
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 236–248
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Weighted composition operators Bloch space weighted Banach space homogeneous domain.