Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2005; 42(2): 387-403

Printed March 1, 2005

Copyright © The Korean Mathematical Society.

Hyponormal Toeplitz operators on the Bergman space

In Sung Hwang

Sungkyunkwan University

Abstract

In this note we consider the hyponormality of Toeplitz operators $B_{\varphi}$ on the Bergman space $L_a^2(\Bbb D)$ with symbol in the class of functions $f+ \overline{g}$ with polynomials $f$ and $g$.

Keywords: Bergman space, Toeplitz operators, hyponormal operators

MSC numbers: 47B20, 47B35