Zero sums of dual Toeplitz products on the orthogonal complements of the polyanalytic Fock space

Hong Rae Cho, Hyungwoon Koo, Young Joo Lee

Research output: Contribution to journalArticlepeer-review

Abstract

We consider dual Toeplitz operators on the orthogonal complement of the polyanalytic Fock space of the complex plane. We characterize the zero sum of products of two dual Toeplitz operators with harmonic symbols. Our results extend several known results on the analytic Fock space to every polyanalytic Fock spaces.

Original languageEnglish
Article number127914
JournalJournal of Mathematical Analysis and Applications
Volume532
Issue number2
DOIs
Publication statusPublished - 2024 Apr 15

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Inc.

Keywords

  • Dual Toeplitz operator
  • Polyanalytic Fock space

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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