JournalsrmiVol. 15, No. 2pp. 279–296

Hardy space H1H^1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality

  • Jacek Dziubański

    Uniwersytet Wrocławski, Wroclaw, Poland
  • Jacek Zienkiewicz

    Uniwersytet Wrocławski, Wroclaw, Poland
Hardy space $H^1$ associated to Schrödinger operator with potential satisfying reverse Hölder inequality cover
Download PDF

Abstract

Let {Tt}t>0\lbrace T_t\rbrace_{t>0} be the semigroup of linear operators generated by a Schrödinger operator A=ΔV–A = \Delta –V  where VV is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space H^1_A be means of a maximal function associated with the semigroup {Tt}t>0\lbrace T_t\rbrace_{t>0}. Atomic and Riesz transforms characterizations of H^1_A are shown.

Cite this article

Jacek Dziubański, Jacek Zienkiewicz, Hardy space H1H^1 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