Complex symmetric Toeplitz operators on Hilbert spaces of analytic functions

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Abstract

We characterize a general class of conjugations on the weighted Bergman spaces and all the Toeplitz operators that are complex symmetric with respect to these conjugations. Several results about the complex symmetry of Toeplitz operators in the literature are simple consequences of our characterizations.

Original languageEnglish
Article number175
Number of pages12
JournalMediterranean Journal of Mathematics
Volume20
Issue number3
DOIs
Publication statusPublished - Jun 2023

Keywords

  • complex symmetric
  • conjugations
  • Hardy spaces
  • Toeplitz operators
  • weighted Bergman spaces

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