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

Baoli Xie, Jianxiang Dong () and Caochuan Ma
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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

Mathematics, 2024, vol. 12, issue 7, 1-12

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.

Keywords: generalized Fock space; dual Toeplitz operators; compactness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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