Weighted inequalities for commutators of Schrödinger–Riesz transforms

In this work we obtain weighted L p , 1 < p < ∞ , and weak L log L estimates for the commutator of the Riesz transforms associated to a Schrödinger operator − Δ + V , where V satisfies some reverse-Hölder inequality. The classes of weights as well as the classes of symbols are larger than A p and BMO corresponding to the classical Riesz transforms.