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Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space

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  • Li He
  • Biqian Wu
  • Yongqiang Fu

Abstract

In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness. It turns out that the dual Toeplitz operator Sf is bounded if and only if f∈L∞, and Sf=f∞. We also obtain that the dual Toeplitz operator with L∞ symbol on orthogonal complement of the Fock–Sobolev space is compact if and only if the corresponding symbol is equal to zero almost everywhere.

Suggested Citation

  • Li He & Biqian Wu & Yongqiang Fu, 2023. "Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space," Journal of Mathematics, Hindawi, vol. 2023, pages 1-7, April.
    • Handle: RePEc:hin:jjmath:1679173
    DOI: 10.1155/2023/1679173
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    Cited by:

    1. Zhi-Ling Sun & Wei-Shih Du & Feng Qi, 2024. "Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols," Mathematics, MDPI, vol. 12(4), pages 1-12, February.

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