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Unbounded complex symmetric Toeplitz operators

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Abstract

In this paper, we study unbounded complex symmetric Toeplitz operators on the Hardy space \(H^{2}(\mathbb{D})\) and the Fock space ℱ2. The technique used to investigate the complex symmetry of unbounded Toeplitz operators is different from that used to investigate the complex symmetry of bounded Toeplitz operators.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Kaikai Han, Maofa Wang & Qi Wu

  2. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang, 050061, China

    Kaikai Han

Authors
  1. Kaikai Han
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  2. Maofa Wang
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  3. Qi Wu
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Corresponding author

Correspondence to Kaikai Han.

Additional information

This work was partially supported by the National Natural Science Foundation of China (11771340).

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Han, K., Wang, M. & Wu, Q. Unbounded complex symmetric Toeplitz operators. Acta Math Sci 42, 420–428 (2022). https://doi.org/10.1007/s10473-022-0123-y

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  • DOI: https://doi.org/10.1007/s10473-022-0123-y

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