Finite rank product theorems for Toeplitz operators on the half-space

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    2 Citations (Scopus)

    Abstract

    On the harmonic Bergman space of the half space in Rn, we show that if the product of two or more Toeplitz operators with harmonic symbols that have certain boundary smoothness has finite rank, then one of the symbols must be identically 0. Our methods require the number of factors in the product to depend on the dimension n.

    Original languageEnglish
    Pages (from-to)885-919
    Number of pages35
    JournalJournal of the Mathematical Society of Japan
    Volume61
    Issue number3
    DOIs
    Publication statusPublished - 2009 Jul

    Keywords

    • Half-space
    • Harmonic Bergman space
    • Toeplitz operator
    • Zero product

    ASJC Scopus subject areas

    • General Mathematics

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