Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields
Classical Analysis and ODEs
2013-02-20 v1
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 Poincar\'e inequality for nonsmooth H\"ormander vector fields.
Cite
@article{arxiv.1201.5209,
title = {Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields},
author = {Daniele Morbidelli and Annamaria Montanari},
journal= {arXiv preprint arXiv:1201.5209},
year = {2013}
}
Comments
arXiv admin note: material from arXiv:1106.2410v1, now three separate articles arXiv:1106.2410v2, arXiv:1201.5228, arXiv:1201.5209