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arXiv · 1008.0414

Higher-order multilinear Poincar\'e and Sobolev inequalities in Carnot groups

Kabe Moen·Virginia Naibo
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Abstract

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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Kabe Moen, Virginia Naibo. 2010-08-02. Higher-order multilinear Poincar\'e and Sobolev inequalities in Carnot groups. https://arxiv.org/abs/1008.0414

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