We provide a structure theorem for Carnot--Caratéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincarè inequality follows.
MONTANARI A., D. MORBIDELLI (2004). Balls defined by nonsmooth vector fields and the Poincaré inequality. ANNALES DE L'INSTITUT FOURIER, 54, 431-452 [10.5802/aif.2024].
Balls defined by nonsmooth vector fields and the Poincaré inequality
MONTANARI, ANNAMARIA;MORBIDELLI, DANIELE
2004
Abstract
We provide a structure theorem for Carnot--Caratéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincarè inequality follows.File in questo prodotto:
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