Balls defined by nonsmooth vector fields and the Poincaré inequality
[Boules définies par des champs de vecteurs non réguliers et l'inégalité de Poincaré]
Montanari, Annamaria ; Morbidelli, Daniele
Annales de l'Institut Fourier, Tome 54 (2004), p. 431-452 / Harvested from Numdam
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On prouve un théorème de structure pour les boules de Carnot-Carathéodory définies par des champs de vecteurs lipschitziens. Une inégalité de Poincaré est aussi démontrée.

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.

Publié le : 2004-01-01
DOI : https://doi.org/10.5802/aif.2024
Classification:  46E35
Mots clés: champs de vecteurs, distance de Carnot-Carathéodory, inégalité de Poincaré 
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     author = {Montanari, Annamaria and Morbidelli, Daniele},
     title = {Balls defined by nonsmooth vector fields and the Poincar\'e inequality},
     journal = {Annales de l'Institut Fourier},
     volume = {54},
     year = {2004},
     pages = {431-452},
     doi = {10.5802/aif.2024},
     zbl = {1069.46504},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2004__54_2_431_0}
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Montanari, Annamaria; Morbidelli, Daniele. Balls defined by nonsmooth vector fields and the Poincaré inequality. Annales de l'Institut Fourier, Tome 54 (2004) pp. 431-452. doi : 10.5802/aif.2024. http://gdmltest.u-ga.fr/item/AIF_2004__54_2_431_0/

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