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arXiv · 1009.3106

Some functional inequalities on polynomial volume growth Lie groups

Diego Chamorro
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Abstract

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.

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Diego Chamorro. 2010-09-16. Some functional inequalities on polynomial volume growth Lie groups. https://doi.org/10.4153/cjm-2011-050-4

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