Hardy space H¹ associated to Schrödinger operator with potential satisfying reverse Hölder inequality

Let T_tt>0 be the semigroup of linear operators generated by a Schrödinger operator –A = Δ –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 T_tt>0 . Atomic and Riesz transforms characterizations of H^1_A are shown.