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In this paper we study the local Holder-regularity of weak solutions to S?u + Vu = 0 where -2" is a Hörmander hypoelliptic operator and the potential V belongs to a new class of functions which is the natural extension of Morrey spaces to this situation. We improve a recent result of Citti, Garofalo, and Lanconelli.

Hölder-continuity of the solutions for operators which are a sum of squares of vector fields plus a potential