Subelliptic Poincaré inequalities: the case p < 1

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Buckley, Stephen M., 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.
Academic Unit:	Faculty of Science and Engineering > Mathematics and 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
Funders:	NSF Grant DMS-9207715, NSF Grant DMS-9305742, Academy of Finland, NSF Grant DMS-9315963
Related URLs:	Publisher
URI:	https://mural.maynoothuniversity.ie/id/eprint/1630
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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Subelliptic Poincaré inequalities: the case p < 1

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