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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