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Let A = −∆ + V be a Schrödinger operator on R, d ≥ 3, where V is a nonnegative potential satisfying the reverse Hölder inequality with an exponent q > d/2. We say that f is an element of H A if the maximal function supt>0 |Ttf(x)| belongs to L(R), where {Tt}t>0 is the semigroup generated by −A. It is proved that for d/(d+1) < p ≤ 1 the space H A admits a special atomic decomposition.

Hpspaces associated with Schrödinger operators with potentials from reverse Hölder classes

H^pspaces associated with Schrödinger operators with potentials from reverse Hölder classes