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http://dx.doi.org/10.4134/BKMS.2007.44.3.517

HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE. II.  

Hwang, In-Sung (DEPARTMENT OF MATHEMATICS SUNGKYUNKWAN UNIVERSITY)
Lee, Jong-Rak (DEPARTMENT OF MATHEMATICS SUNGKYUNKWAN UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.3, 2007 , pp. 517-522 More about this Journal
Abstract
In this paper we consider the hyponormality of Toeplitz operators $T_\varphi$ on the Bergman space $L_\alpha^2(\mathbb{D})$ with symbol in the case of function $f+\bar{g}$ with polynomials f and g. We present some necessary 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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