Remarks on Hyponormal Toeplitz Operators on the Weighted Bergman Spaces

Abstract

In this paper, we study the hyponormal Toeplitz operators Tφ, where φ is a trigonometric polynomial symbol with finite degree. We present necessary and sufficient conditions for the hyponormality of Tφ under some assumptions about the coefficients of φ. Next, we find the necessary condition for hyponormality of Tφ. © 2020, Springer Nature Switzerland AG.