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Weighted composition operators on weighted Bergman spaces of bounded symmetric domains
Authors:Sanjay Kumar  Kanwar Jatinder Singh
Affiliation:(1) Department of Mathematics, University of Jammu, Jammu, 180 006, India
Abstract:In this paper, we study the weighted compositon operators on weighted Bergman spaces of bounded symmetric domains. The necessary and sufficient conditions for a weighted composition operator W φψ to be bounded and compact are studied by using the Carleson measure techniques. In the last section, we study the Schatten p-class weighted composition operators.
Keywords:Bergman spaces  bounded symmetric domain  boundedness  Carleson measure  compactness  Schatten p-class operator
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