  We consider a class of nonvariational linear operators formed by homogeneous
left invariant Hormander's vector fields with respect to a structure of Carnot
group. The bounded coefficients of the operators belong to "vanishing
logarithmic mean oscillation" class with respect to the distance induced by the
vector fields (in particular they can be discontinuous). We prove local
estimates in "local BMO" spaces intersected with the Lebesgue spaces. Even in
the uniformly elliptic case our estimates improve the known results.
