Hardy space associated to Schrödinger operator with potential satisfying reverse Hölder inequality

  • Jacek Dziubański

    Uniwersytet Wrocławski, Wroclaw, Poland
  • Jacek Zienkiewicz

    Uniwersytet Wrocławski, Wroclaw, Poland

Abstract

Let be the semigroup of linear operators generated by a Schrödinger operator where is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space be means of a maximal function associated with the semigroup . Atomic and Riesz transforms characterizations of are shown.

Cite this article

Jacek Dziubański, Jacek Zienkiewicz, Hardy space associated to Schrödinger operator with potential satisfying reverse Hölder inequality. Rev. Mat. Iberoam. 15 (1999), no. 2, pp. 279–296

DOI 10.4171/RMI/257