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Inégalités de Hardy précisées
Authors:Hajer Bahouri  Jean-Yves Chemin  Isabelle Gallagher
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
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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