• Title of article

    On Complex Hypercontractivity

  • Author/Authors

    Janson، نويسنده , , Svante، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1997
  • Pages
    11
  • From page
    270
  • To page
    280
  • Abstract
    We give a new proof of a hypercontractivity theorem for the Mehler transform with a complex parameter, earlier proved by Weissler (1979,J. Funct. Anal.32, 102–121) and Epperson (1989,J. Funct. Anal.87, 1–30). The proof uses stochastic integrals and Itô calculus. The method also yields new proofs of some related results.
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    1997
  • Journal title
    Journal of Functional Analysis
  • Record number

    1548443