# HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE. II.

• Hwang, In-Sung (DEPARTMENT OF MATHEMATICS SUNGKYUNKWAN UNIVERSITY) ;
• Lee, Jong-Rak (DEPARTMENT OF MATHEMATICS SUNGKYUNKWAN UNIVERSITY)
• Published : 2007.08.31

#### 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 $\varphi$.

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#### Cited by

1. Hyponormal Toeplitz Operators on the Dirichlet Spaces vol.2013, 2013, https://doi.org/10.1155/2013/186326
2. THE HYPONORMAL TOEPLITZ OPERATORS ON THE VECTOR VALUED BERGMAN SPACE vol.51, pp.1, 2014, https://doi.org/10.4134/BKMS.2014.51.1.237
3. HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE vol.30, pp.1, 2008, https://doi.org/10.5831/HMJ.2008.30.1.127