Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrodinger Type Operators

We obtain weighted mixed inequalities for operators associated to a critical radius function. We consider Schrodinger Calderon-Zygmund operators of (s, delta) type, for 1 < s <= infinity and 0 < delta <= 1. We also give estimates of the same type for the associated maximal operators. As an application, we obtain a wide variety of mixed inequalities for Schrodinger type singular integrals. As far as we know, these results are a first approach of mixed inequalities in the Schrodinger setting.