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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.doi:10.4153/cjm-2011-050-4 fatcat:qu6ha7bvhzefpjhyidqvbzctcq