HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE

• Journal title : Honam Mathematical Journal
• Volume 30, Issue 1,  2008, pp.127-135
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2008.30.1.127
Title & Authors
HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE
Lee, Jong-Rak; Lee, You-Ho;

Abstract
In this paper we consider the hyponormality of Toeplitz operators $\small{T_{\varphi}}$ on the Bergman space $\small{L^2_a(\mathbb{D})}$ with symbol in the case of function f + $\small{\overline{g}}$ with polynomials f and g. We present some necessary conditions for the hyponormality of $\small{T_{\varphi}}$, under certain assumptions about the coefficients of $\small{{\varphi}}$.
Keywords
Toeplitz operators;hyponormal operators;Bergman space;
Language
English
Cited by
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