HYPONORMALITY OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE

  • Lee, Jongrak (Department of Mathematics Sungkyunkwan University)
  • 투고 : 2007.11.03
  • 발행 : 2007.12.30

초록

In this paper we consider the hyponormality of Toeplitz operators $T_{\varphi}$ on the Bergman space $L^2_a({\mathbb{D})$ 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 ${\varphi}$.

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