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Dual Toeplitz Operators on the Orthogonal Complement of the Generalized Fock Space

Author

Listed:
  • Baoli Xie

    (School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741000, China)

  • Jianxiang Dong

    (School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741000, China)

  • Caochuan Ma

    (School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741000, China
    College of Mathematics and Physics, Wenzhou University, Wenzhou 325035, China)

Abstract

We characterize the boundedness and compactness of dual Toeplitz operators on the orthogonal complement of the generalized Fock space. We study the problem when the finite sum of the dual Toeplitz products is compact. Additionally, we also consider when the sum of the dual Toeplitz operators is equal to another dual Toeplitz operator.

Suggested Citation

  • Baoli Xie & Jianxiang Dong & Caochuan Ma, 2024. "Dual Toeplitz Operators on the Orthogonal Complement of the Generalized Fock Space," Mathematics, MDPI, vol. 12(7), pages 1-12, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:1010-:d:1365699
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