Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces

Abstract

In this paper we consider the properties of H-Toeplitz operators $ B_{\varphi} $ on the Bergman space $ L^2_a(\Bbb D) $. We present some necessary and sufficient conditions for the contractive and expansive H-Toeplitz operators $ B_\varphi $ with various symbols $ \varphi $.

Keywords

• h-toeplitz operators
• contractive operators
• expansive operators
• bergman space