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arXiv · 1201.5209

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

Daniele Morbidelli·Annamaria Montanari
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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.

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Daniele Morbidelli, Annamaria Montanari. 2012-01-25. Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields. https://doi.org/10.1007/s12220-012-9351-z

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