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http://dx.doi.org/10.4134/JKMS.2008.45.4.1027

HYPONORMALITY OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE  

Hwang, In-Sung (Department of Mathematics Sungkyunkwan University)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 1027-1041 More about this Journal
Abstract
In this paper we consider the hyponormality of Toeplitz operators $T_{\varphi}$ on the Bergman space $L_a^2{(\mathbb{D})$ in the cases, where ${\varphi}\;:=f+\bar{g}$ (f and g are polynomials). We present some necessary or sufficient conditions for the hyponormality of $T_{\varphi}$ under certain assumptions about the coefficients of ${\varphi}$.
Keywords
Toeplitz operators; hyponormal operators; Bergman space;
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