Weighted composition operators on weighted Bergman spaces of bounded symmetric domains

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 $W_{\varphi ,\psi }$ 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.

11 pages