Weighted BMO Estimates for Commutators of Riesz Transforms Associated with Schrödinger Operator

Schrodinger operator; Weighted BMO spaces; Reverse Holder inequality; Commutator Abstract. In this paper, the Schrodinger operator on n dimensions Euclid space with the non-zero, nonnegative potential function satisfying the reverse Holder inequality is considered. The weighted boundedness of the commutators composed of several Riesz transforms associated with the Schrodinger operator and weighted BMO function on weighted Lebesgue integral spaces are obtained, for some weighted function.