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

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Abstract

We give some characterizations of block dual Toeplitz operators acting on the orthogonal complement of the Dirichlet space. We characterized the compactness of the finite sum of block dual Toeplitz products. Commuting block dual Toeplitz operators and quasinormal block dual Toeplitz operators are also considered.

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Acknowledgements

T. Yu was supported by National Natural Science Foundation of China (No. 11971087).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China

    Chunxu Xu

  2. School of Mathematics and Statistics, Tianshui Normal University, Tianshui, 741000, China

    Jianxiang Dong

  3. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China

    Tao Yu

Authors
  1. Chunxu Xu
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  2. Jianxiang Dong
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  3. Tao Yu
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Correspondence to Jianxiang Dong.

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Communicated by Patrick Dowling.

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Xu, C., Dong, J. & Yu, T. Block dual Toeplitz operators on the orthogonal complement of the Dirichlet space. Ann. Funct. Anal. 15, 27 (2024). https://doi.org/10.1007/s43034-024-00329-w

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