Positive Schatten class Toeplitz operators on the ball

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

    Research output: Contribution to journalArticlepeer-review

    22 Citations (Scopus)

    Abstract

    On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten class operator in terms of averaging functions and Berezin transforms.

    Original languageEnglish
    Pages (from-to)65-90
    Number of pages26
    JournalStudia Mathematica
    Volume189
    Issue number1
    DOIs
    Publication statusPublished - 2008

    Keywords

    • Harmonic Bergman space
    • Schatten class
    • Toeplitz operator

    ASJC Scopus subject areas

    • General Mathematics

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