Weighted Hardy spaces and BMO spaces associated with Schrodinger operators

In this paper, we characterize the weighted Hardy space H-L(1) (omega) related to the Schrodinger operator L = -Delta + V, with V a non-negative potential satisfying a reverse Holder inequality, by atomic decomposition and Riesz transforms. We also get a characterization of its dual space BMOL(omega) through a weighted Carleson measure. Then we prove the boundedness of some classical operators associated to L on the weighted BMO space BMOL(omega). (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimMathematicsSCI(E)2ARTICLE17-182173-220728