Finite rank products of toeplitz operators on the harmonic bergman space

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    2 Citations (Scopus)

    Abstract

    On the harmonic Bergman space of the unit ball in Rn, we show that if the product of Toeplitz operators with harmonic symbols that have certain boundary smoothness has finite rank, then one of the symbols must be identically zero. There are restrictions, caused by our methods, on the number of factors in the product.

    Original languageEnglish
    Pages (from-to)45-78
    Number of pages34
    JournalRocky Mountain Journal of Mathematics
    Volume41
    Issue number1
    DOIs
    Publication statusPublished - 2011

    Keywords

    • Finite rank product
    • Harmonic bergman space
    • Harmonic symbol
    • Toeplitz operator

    ASJC Scopus subject areas

    • General Mathematics

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