Some Functional Inequalities on Polynomial Volume Growth Lie Groups
Printed: Jun 2012
In this article we study some Sobolev-type inequalities on polynomial volume growth Lie groups.
We show in particular that improved Sobolev inequalities can be extended to this general framework
without the use of the Littlewood-Paley decomposition.
Sobolev inequalities, polynomial volume growth Lie groups
22E30 - Analysis on real and complex Lie groups [See also 33C80, 43-XX]