• About
    • Login
    View Item 
    •   Institutional Repository Home
    • Electronic Theses and Dissertations
    • Electronic Theses and Dissertations
    • View Item
    •   Institutional Repository Home
    • Electronic Theses and Dissertations
    • Electronic Theses and Dissertations
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of Institutional RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDepartmentThis CollectionBy Issue DateAuthorsTitlesSubjectsDepartment

    My Account

    LoginRegister

    Multiplication Operators and M-Berezin Transforms

    Zhong, Changyong
    : https://etd.library.vanderbilt.edu/etd-03232006-005345
    http://hdl.handle.net/1803/11098
    : 2006-03-27

    Abstract

    Lattices of reducing subspaces of multiplication operators acting on the Bergman space induced by finite Blaschke products are studied. A complete description of the lattices of reducing subspaces of multiplication operators induced by Blaschke products of order three or order four is given. It is proved that, for the multiplication operator acting on the Bergman space induced by Blaschke product of order three or order four, the number of minimal reducing subspaces equals the number of connected components of the Riemann surface associated to the composition of the inverse of the Blaschke product and the Blaschke product itself. A characterization about the compactness of certain operators in the Toeplitz algebra acting on Bergman spaces of several complex variables is obtained via m-Berezin transforms.
    Show full item record

    Files in this item

    Icon
    Name:
    thesis.pdf
    Size:
    604.3Kb
    Format:
    PDF
    View/Open

    This item appears in the following collection(s):

    • Electronic Theses and Dissertations

    Connect with Vanderbilt Libraries

    Your Vanderbilt

    • Alumni
    • Current Students
    • Faculty & Staff
    • International Students
    • Media
    • Parents & Family
    • Prospective Students
    • Researchers
    • Sports Fans
    • Visitors & Neighbors

    Support the Jean and Alexander Heard Libraries

    Support the Library...Give Now

    Gifts to the Libraries support the learning and research needs of the entire Vanderbilt community. Learn more about giving to the Libraries.

    Become a Friend of the Libraries

    Quick Links

    • Hours
    • About
    • Employment
    • Staff Directory
    • Accessibility Services
    • Contact
    • Vanderbilt Home
    • Privacy Policy