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Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space

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Abstract

In this paper we characterize commuting dual Toeplitz operators with harmonic symbols on the orthogonal complement of the Dirichlet space in the Sobolev space. We also obtain the sufficient and necessary conditions for the product of two dual Toeplitz operators with harmonic symbols to be a finite rank perturbation of a dual Toeplitz operator.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, P. R. China

    Tao Yu & Shi Yue Wu

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  1. Tao Yu
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  2. Shi Yue Wu
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Correspondence to Tao Yu.

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The first author is supported by NNFSC (No. 10771064)

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Yu, T., Wu, S.Y. Commuting dual Toeplitz operators on the orthogonal complement of the Dirichlet space. Acta. Math. Sin.-English Ser. 25, 245–252 (2009). https://doi.org/10.1007/s10114-008-7109-0

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  • DOI: https://doi.org/10.1007/s10114-008-7109-0

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