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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: | |
| 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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