# Hardy space $H^1$ associated to Schrödinger operator with potential satisfying reverse Hölder inequality

### Jacek Dziubański

Uniwersytet Wrocławski, Wroclaw, Poland### Jacek Zienkiewicz

Uniwersytet Wrocławski, Wroclaw, Poland

## Abstract

Let $\lbrace T_t\rbrace_{t>0}$ be the semigroup of linear operators generated by a Schrödinger operator $–A = \Delta –V$ where $V$ 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 $\lbrace T_t\rbrace_{t>0}$. Atomic and Riesz transforms characterizations of H^1_A are shown.

## Cite this article

Jacek Dziubański, Jacek Zienkiewicz, Hardy space $H^1$ 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