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

Li He, Biqian Wu and Yongqiang Fu

Journal of Mathematics, 2023, vol. 2023, 1-7

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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1679173

DOI: 10.1155/2023/1679173

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