Weighted composition operators on weighted Bergman spaces of bounded symmetric domains

Mathematics – Functional Analysis

Scientific paper

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11 pages

Scientific paper

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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