Subelliptic Poincaré inequalities: the case p < 1

Autores: Pekka Koskela , Guozhen Lu, Stephen M. Buckley
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 39, Nº 2, 1995, págs. 313-334
Idioma: inglés
DOI: 10.5565/publmat_39295_08
Títulos paralelos:
- Desigualdades subelípticas de Poincaré: caso p < 1
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Resumen
- 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 $p\ge 1$.