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Some Functional Inequalities on Polynomial Volume Growth Lie Groups

  Published:2011-08-03
 Printed: Jun 2012
  • Diego Chamorro,
    Laboratoire d'Analyse et de Probabilités, Université d'Evry Val d'Essonne et ENSIIE, 91025 Evry Cedex
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Abstract

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: Sobolev inequalities, polynomial volume growth Lie groups Sobolev inequalities, polynomial volume growth Lie groups
MSC Classifications: 22E30 show english descriptions Analysis on real and complex Lie groups [See also 33C80, 43-XX] 22E30 - Analysis on real and complex Lie groups [See also 33C80, 43-XX]
 

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