Remarks on hyponormal Toeplitz operators with nonharmonic symbols

Abstract

In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator Tφ{T}_{\varphi } on the Bergman space A2(D){A}^{2}\left({\mathbb{D}}). In particular, we consider the Toeplitz operator Tφ{T}_{\varphi } with nonharmonic symbols φ\varphi under certain assumptions.

Keywords

• toeplitz operators
• hyponormal operators
• nonharmonic symbols
• bergman space
• 47b35
• 47b20
• 30h20