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.
Balls defined by nonsmooth vector fields and the Poincaré inequality / MONTANARI A.; D. MORBIDELLI. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - STAMPA. - 54:(2004), pp. 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:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.