Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups

Abstract

The notions of higher-order weighted multilinear Poincaré and Sobolev inequalities in Carnot groups are introduced. As an application, weighted Leibnitz-type rules in Campanato-Morrey spaces are established.

arXiv commentv2 expanded introduction and added examples. To appear in Potential Analysis