Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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COMMUTATIVITY AND HYPONORMALITY OF TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACE

  • Lu, Yufeng (DEPARTMENT OF APPLIED MATHEMATICS DALIAN UNIVERSITY OF TECHNOLOGY) ;
  • Liu, Chaomei (DEPARTMENT OF APPLIED MATHEMATICS DALIAN UNIVERSITY OF TECHNOLOGY)
  • Published : 2009.05.01
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Abstract

In this paper we give necessary and sufficient conditions that two Toeplitz operators with monomial symbols acting on the weighted Bergman space commute. We also present necessary and sufficient conditions for the hyponormality of Toeplitz operators with some special symbols on the weighted Bergman space. All the results are stated in terms of the Mellin transform of the symbol.

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References

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