MURAL - Maynooth University Research Archive Library



    Subelliptic Poincaré inequalities: the case p < 1


    Buckley, Stephen M. 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:
    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

    Repository Staff Only(login required)

    View Item Item control page

    Downloads

    Downloads per month over past year

    Origin of downloads