Hyponormality of Toeplitz operators on the weighted Bergman space with matrix-valued circulant symbols

Abstract

In this paper we consider the hyponormality of Toeplitz operators T Φ on the weighted Bergman space with matrix-valued circulant symbols Φ. We give a necessary and sufficient condition for the hyponormality of T Φ with such a symbol Φ under some constraint on the entries of the matrix. © 2018 Elsevier Inc.