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Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups - MaRDI portal

Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups (Q2248972)

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Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups
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    Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups (English)
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    27 June 2014
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    The aim of this work is to introduce higher-order weighted multilinear Poincaré and Sobolev inequalities in the general context of Carnot groups. An application is provided to weighted Leibnitz-type rules for Campanato-Morrey spaces. The technical definitions and results however, are too complicated to be stated here.
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    sub-elliptic Poincaré inequalities
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    multilinear operators
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    stratified Lie groups
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    Carnot groups
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