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

 

Viscosity convex functions on Carnot groups


Author: Changyou Wang
Journal: Proc. Amer. Math. Soc. 133 (2005), 1247-1253
MSC (2000): Primary 58J05
Published electronically: November 19, 2004
MathSciNet review: 2117228
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Abstract: We prove that any upper semicontinuous v-convex function in any Carnot group is h-convex.


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Additional Information

Changyou Wang
Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07836-0
PII: S 0002-9939(04)07836-0
Received by editor(s): August 21, 2003
Published electronically: November 19, 2004
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2004 American Mathematical Society