Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups

math.CA

/ Authors

/ 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.

Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups

math.CA

/ Authors

Kabe Moen, Virginia Naibo

/ 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.