Zero products of Toeplitz operators with harmonic symbols

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    21 Citations (Scopus)

    Abstract

    On the Bergman space of the unit ball in Cn, we solve the zero-product problem for two Toeplitz operators with harmonic symbols that have continuous extensions to (some part of) the boundary. In the case where symbols have Lipschitz continuous extensions to the boundary, we solve the zero-product problem for multiple products with the number of factors depending on the dimension n of the underlying space; the number of factors is n + 3. We also prove a local version of this result but with loss of a factor.

    Original languageEnglish
    Pages (from-to)307-334
    Number of pages28
    JournalJournal of Functional Analysis
    Volume233
    Issue number2
    DOIs
    Publication statusPublished - 2006 Apr 15

    Bibliographical note

    Funding Information:
    This research was supported by KOSEF (R01-2003-000-10243-0). ∗Corresponding author. E-mail addresses: [email protected] (B. Choe), [email protected] (H. Koo).

    Keywords

    • Bergman space
    • Harmonic symbol
    • Toeplitz operator
    • Zero product

    ASJC Scopus subject areas

    • Analysis

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