Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups

Details Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups

2010-08-02

arxiv.org/abs/1008.0414v1

Mathematics

Classical Analysis and ODEs

11 pages

Scientific paper

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

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