Toeplitz products with pluriharmonic symbols on the Hardy space over the ball

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

    Research output: Contribution to journalArticlepeer-review

    16 Citations (Scopus)

    Abstract

    On the Hardy space over the unit ball in Cn, we consider operators which have the form of a finite sum of products of several Toeplitz operators. We study characterizing problems of when such an operator is compact or of finite rank. Some of our results show higher-dimensional phenomena.

    Original languageEnglish
    Pages (from-to)365-382
    Number of pages18
    JournalJournal of Mathematical Analysis and Applications
    Volume381
    Issue number1
    DOIs
    Publication statusPublished - 2011 Sept 1

    Bibliographical note

    Funding Information:
    ✩ The first two authors were supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korean Government (MEST) (R01-2008-000-20206-0). The third author was supported by the National Research Foundation of Korea grant funded by the Korean Government (NRF-2010-013-C00005). * Corresponding author. E-mail addresses: [email protected] (B.R. Choe), [email protected] (H. Koo), [email protected] (Y.J. Lee).

    Keywords

    • Hardy space
    • Pluriharmonic symbol
    • Toeplitz operator
    • Zero product

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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