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