Classes of weights and second order Riesz transforms associated to Schrodinger operators
We consider the Schrodinger operator V on Rn with n 3 and V a member of the reverse Holder class Bs for some s n/2. We obtain the boundedness of the second order Riesz transform 2( V 1 on the weighted spaces Lp(w) where w belongs to a class of weights related to V To prove this, we develop a good l inequality adapted to this setting along with some new heat kernel estimates.