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

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

2012-01-25

arxiv.org/abs/1201.5209v1

Mathematics

Classical Analysis and ODEs

arXiv admin note: material from arXiv:1106.2410v1, now three separate articles arXiv:1106.2410v2, arXiv:1201.5228, arXiv:1201.

Scientific paper

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 Poincar\'e inequality for nonsmooth H\"ormander vector fields.

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