paper

Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields

arXiv:1201.5209 · doi:10.1007/s12220-012-9351-z

Abstract

We consider a family of vector fields and we assume a horizontal regularity on their derivatives. We discuss the notion of commutator showing that different definitions agree. We apply our results to the proof of a ball-box theorem and Poincaré inequality for nonsmooth Hörmander vector fields.

arXiv admin note: material from arXiv:1106.2410v1, now three separate articles arXiv:1106.2410v2, arXiv:1201.5228, arXiv:1201.5209

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