Some functional inequalities on polynomial volume growth Lie groups

Diego Chamorro (1)

1 LAP - Laboratoire Analyse et Probabilités

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

Mots clés: Sobolev inequalities; polynomial volume growth Lie groups

Domaines: Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

Diego Chamorro. Some functional inequalities on polynomial volume growth Lie groups. Canadian Journal of Mathematics = Journal Canadien de Mathématiques, 2012, 64, pp.481-496. ⟨hal-00517966v2⟩