Mathematics (Mar 2024)

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

  • Baoli Xie,
  • Jianxiang Dong,
  • Caochuan Ma

DOI
https://doi.org/10.3390/math12071010
Journal volume & issue
Vol. 12, no. 7
p. 1010

Abstract

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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