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Bull. Korean Math. Soc. 2007; 44(3): 517-522
Printed September 1, 2007
Copyright © The Korean Mathematical Society.
Hyponormal Toeplitz operators on the Bergman space. II.
In Sung Hwang and Jongrak Lee
Sungkyunkwan University, Sungkyunkwan University
In this paper we consider the hyponormality of Toeplitz operators $T_{\varphi}$ on the Bergman space $L_a^2(\mathbb D)$ with symbol in the case of function $f+ \overline{g}$ 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
MSC numbers: Primary 47B20, 47B35
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