L^p estimates for Baouendi-Gru

Abstract

We prove L^p estimates for the Baouendi-Grushin operator L=Delta_x+|x|^αDelta_y in L^p(R^N+M), 1 < p < 1, where x belongs to R^N; y belongs to R^M. When p = 2 more general weights belonging to Reverse Holder classes are allowed.