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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on the Poincaré inequality for Lipschitz vector fields of step two


Author: Maria Manfredini
Journal: Proc. Amer. Math. Soc. 138 (2010), 567-575
MSC (2000): Primary 35A08, 35H20, 43A80; Secondary 35A17, 35J70
Published electronically: September 16, 2009
MathSciNet review: 2557174
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Abstract: We provide a Poincaré inequality for families of Lipschitz continuous vector fields satisfying a Hörmander-type condition of step two.


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Additional Information

Maria Manfredini
Affiliation: Dipartimento di Matematica, Università di Bologna, Piazza Porta S. Donato 5, 40126 Bologna, Italy
Email: manfredi@dm.unibo.it

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10054-0
PII: S 0002-9939(09)10054-0
Received by editor(s): August 30, 2008
Published electronically: September 16, 2009
Communicated by: Matthew J. Gursky
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.