Schatten class Toeplitz operators on the parabolic Bergman space II

DOI Open Access

Description

Let 0 < α ≤ 1 and let b2α be a Hilbert space of all square integrable solutions of a parabolic equation (∂t + (−Δ)α)u = 0 on the upper half space. We study the Toeplitz operators on b2α, which we characterize to be of Schatten class whose exponent is smaller than 1. For the proof, we use an atomic decomposition theorem of parabolic Bergman functions. Generalizations to Schatten class operators for Orlicz type and Herz type are also discussed.

Journal

  • Kodai Mathematical Journal

    Kodai Mathematical Journal 35 (1), 52-77, 2012

    Department of Mathematics, Tokyo Institute of Technology

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Details 詳細情報について

  • CRID
    1390282680248508160
  • NII Article ID
    130004496158
  • DOI
    10.2996/kmj/1333027254
  • ISSN
    18815472
    03865991
  • MRID
    2911266
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
    • KAKEN
    • OpenAIRE
  • Abstract License Flag
    Disallowed

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