Some functional inequalities on polynomial volume growth Lie groups

Details Some functional inequalities on polynomial volume growth Lie groups Some functional inequalities on polynomial volume growth Lie groups

2010-09-16

arxiv.org/abs/1009.3106v2

Mathematics

Analysis of PDEs

Scientific paper

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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