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Let L = −Δ + V be a Schrodinger operator on ℝn , where V is a nonnegative potential satisfying the suitable reverse Holder’s inequality. In this paper, we study the boundedness of the second order Riesz transforms such as L−1 ∇2 on the spaces of BMO type for weighted case. We generalized the known results to the weighted case.

Regularity for the second order Riesz transforms associated with Schrödinger operators on weighted BMO type spaces