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Some Functional Inequalities on Polynomial Volume Growth Lie Groups

Published online by Cambridge University Press:  20 November 2018

Diego Chamorro
Diego Chamorro*
Affiliation:
Laboratoire d’Analyse et de Probabilités, Université d’Evry Val d’Essonne et ENSIIE, 91025 Evry Cedex email: diego.chamorro@m4x.org
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Abstract

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In this article we study some Sobolev-type inequalities on polynomial volume growth Lie groups. We show in particular that improved Sobolev inequalities can be extended to this general framework without the use of the Littlewood–Paley decomposition.

Keywords

22E30Sobolev inequalitiespolynomial volume growth Lie groups
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 64 , Issue 3 , 01 June 2012 , pp. 481 - 496
Copyright
Copyright © Canadian Mathematical Society 2012

References

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