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Subelliptic Poincaré inequalities: the case p < 1

Buckley, S. and Koskela , P. and Lu, G. (1995) Subelliptic Poincaré inequalities: the case p < 1. Publicacions Matemàtiques, 39 (2). pp. 313-334. ISSN 0214-1493

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Abstract

We obtain (weighted) Poincaré type inequalities for vector elds 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.

Item Type: Article
Keywords: Subelliptic Poincaré inequalities; vector fields; Hörmander condition; Boman domains; Carnot-Carathéodory metric; subelliptic equations.
Subjects: Science & Engineering > Mathematics & Statistics
Item ID: 1630
Depositing User: Prof. Stephen Buckley
Date Deposited: 03 Nov 2009 10:42
Journal or Publication Title: Publicacions Matemàtiques
Publisher: Universitat Autònoma Barcelona
Refereed: No
URI:

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