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

[img] Download (171kB)
Official URL: http://www.mat.uab.es/pubmat//fitxers/download/Fil...


Share your research

Twitter Facebook LinkedIn GooglePlus Email more...



Add this article to your Mendeley library


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
URI:

Repository Staff Only(login required)

View Item Item control page

Document Downloads

More statistics for this item...