Toeplitz products on the vector weighted Bergman spaces

Abstract

A result of K. Stroethoff and D. Zheng provides on the polydisk a necessary and sufficient condition for the Toeplitz product TfTg to be bounded on the unweighted Bergman space. We consider the same question on the vector weighted Bergman space of the unit polydisc. © Bolyai Institute, University of Szeged.