Balls defined by nonsmooth vector fields and the Poincaré inequality

Annamaria Montanari[1]; Daniele Morbidelli

  • [1] Università di Bologna, Dipartimento di Matematica, Piazza di Porta S. Donato 5, 40127 Bologna (Italie)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 2, page 431-452
  • ISSN: 0373-0956

Abstract

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We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.

How to cite

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Montanari, Annamaria, and Morbidelli, Daniele. "Balls defined by nonsmooth vector fields and the Poincaré inequality." Annales de l’institut Fourier 54.2 (2004): 431-452. <http://eudml.org/doc/116117>.

@article{Montanari2004,
abstract = {We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.},
affiliation = {Università di Bologna, Dipartimento di Matematica, Piazza di Porta S. Donato 5, 40127 Bologna (Italie)},
author = {Montanari, Annamaria, Morbidelli, Daniele},
journal = {Annales de l’institut Fourier},
keywords = {vector fields; Carnot-Carathéodory distance; Poincaré inequality},
language = {eng},
number = {2},
pages = {431-452},
publisher = {Association des Annales de l'Institut Fourier},
title = {Balls defined by nonsmooth vector fields and the Poincaré inequality},
url = {http://eudml.org/doc/116117},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Montanari, Annamaria
AU - Morbidelli, Daniele
TI - Balls defined by nonsmooth vector fields and the Poincaré inequality
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 2
SP - 431
EP - 452
AB - We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.
LA - eng
KW - vector fields; Carnot-Carathéodory distance; Poincaré inequality
UR - http://eudml.org/doc/116117
ER -

References

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