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Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces

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Abstract

In this paper, the authors investigate the boundedness of Toeplitz product TfTg and Hankel product H*fHg on Fock-Sobolev space for \(f,g \in {\cal P}\). As a result, the boundedness of Toeplitz operator Tf and Hankel operator Hf with \(f \in {\cal P}\) is characterized.

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Acknowledgement

The authors would like to thank the referee for his/her valuable comments.

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Authors and Affiliations

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

    Yiyuan Zhang, Guangfu Cao & Li He

Authors
  1. Yiyuan Zhang
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  2. Guangfu Cao
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  3. Li He
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Corresponding author

Correspondence to Li He.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 12071155, 11871170) and the Innovation Research for the Postgraduates of Guangzhou University (2020GDJCD08).

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Zhang, Y., Cao, G. & He, L. Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces. Chin. Ann. Math. Ser. B 43, 401–416 (2022). https://doi.org/10.1007/s11401-022-0331-8

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  • DOI: https://doi.org/10.1007/s11401-022-0331-8

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