Refined inequalities on graded Lie groups |
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Authors: | Hajer Bahouri Clotilde Fermanian-Kammerer Isabelle Gallagher |
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Institution: | 1. LAMA UMR CNRS 8050, université Paris-Est Créteil, 61, avenue du Général de Gaulle, 94010 Créteil cedex, France;2. Institut de mathématiques UMR 7586, université Paris Diderot (Paris 7), 175, rue du Chevaleret, 75013 Paris, France |
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Abstract: | We construct a Littlewood–Paley decomposition associated to a Rockland operator on graded Lie groups, which allows us to deduce refined Gagliardo–Nirenberg, Sobolev and Hardy inequalities. |
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