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 H^1_A be means of a maximal function associated with the semigroup . Atomic and Riesz transforms characterizations of H^1_A are shown.
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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