Sums of Polyanalytic Dual Toeplitz Products

Hong Rae Cho, Hyungwoon Koo, Young Joo Lee

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

On the setting of the orthogonal complement of the polyanalytic Bergman space of the unit disk, we give characterizations of when a sum of products of several dual Toeplitz operators is compact or zero. Our results extend several known results on the Bergman space to polyanalytic Bergman spaces.

Original languageEnglish
Article number115
JournalComplex Analysis and Operator Theory
Volume17
Issue number7
DOIs
Publication statusPublished - 2023 Oct

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

  • Compact
  • Dual Toeplitz operator
  • Polyanalytic Bergman space
  • Sum of products

ASJC Scopus subject areas

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

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