Honam Mathematical Journal (호남수학학술지)

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HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE

  • Lee, Jong-Rak (Department of Mathematics, Sungkyunkwan University) ;
  • Lee, You-Ho (Department of Internet Information, Daegu Haany University)
  • Received : 2007.11.08
  • Published : 2008.03.25
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Abstract

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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References

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