Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups

DOI10.1007/S11118-013-9347-8zbMATH Open1303.26019arXiv1008.0414OpenAlexW2030637773MaRDI QIDQ2248972

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Publication date: 27 June 2014

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1008.0414

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