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| Home > Articles > Published articles > Subelliptic Poincaré inequalities: the case p < 1 |
| Date: | 1995 |
| Abstract: | We obtain (weighted) Poincaré type inequalities for vector fields satisfying the Hörmander condition for p < 1 under some assumptions on the subelliptic gradient of the function. Such inequalities hold on Boman domains associated with the underlying Carnot-Carathéodory metric. In particular, they remain true for solutions to certain classes of subelliptic equations. Our results complement the earlier results in these directions for p ≥ 1. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, Vol. 39, Núm. 2 (1995) , p. 313-334, ISSN 2014-4350 |
