Inégalités de Hardy précisées |
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Authors: | Hajer Bahouri Jean-Yves Chemin Isabelle Gallagher |
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Institution: | 1. Département de mathématiques, faculté des sciences de Tunis, 1060 Tunis, Tunisie;2. Laboratoire J.-L. Lions, UMR 7598, université Paris 6, 175, rue du Chevaleret, 75013 Paris, France;3. Institut de mathématiques, UMR 7586, université Paris 7, 175, rue du Chevaleret, 75013 Paris, France |
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Abstract: | The aim of this Note is to present ‘precised’ Hardy-type inequalities. Those inequalities are generalisations of the usual Hardy inequalities, their feature being that they are invariant under oscillations: when applied to highly oscillatory functions, both sides of the precised inequality are of the same order of magnitude. The proof relies on paradifferential calculus and Besov spaces. To cite this article: H. Bahouri et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005). |
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