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arxiv: 0707.1964 · v1 · submitted 2007-07-13 · 🧮 math.FA · math.OA

Weighted composition operators on weighted Bergman spaces of bounded symmetric domains

classification 🧮 math.FA math.OA
keywords weightedboundedcompositionoperatorsbergmandomainsspacessymmetric
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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 $W_{\phi,\psi}$ 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.

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