Some functional inequalities on polynomial volume growth Lie groups
Analysis of PDEs
2019-08-15 v2 Functional Analysis
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.
Cite
@article{arxiv.1009.3106,
title = {Some functional inequalities on polynomial volume growth Lie groups},
author = {Diego Chamorro},
journal= {arXiv preprint arXiv:1009.3106},
year = {2019}
}