Weighted composition operators on weighted Bergman spaces of bounded symmetric domains

Sanjay Kumar, Kanwar Jatinder Singh

Published 2007-07-13Version 1

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.