Some Functional Inequalities on Polynomial Volume Growth Lie Groups

Diego Chamorro
2011 Canadian Journal of Mathematics - Journal Canadien de Mathematiques  
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