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Petits espaces de Lebesgue et quelques applicationsOn small Lebesgue spaces and their applications
Authors:Alberto Fiorenza  Jean-Michel Rakotoson
Institution:1. Dipartimento di Costruzioni e Metodi Matematici in Architettura, Universitá di Napoli “Federico II”, via Monteoliveto, 3, I-80134 Napoli, Italy;2. Laboratoire d''applications des mathématiques, Téléport 2 Département de mathématiques, Université de Poitiers, BP 30179, 86962 Futuroscope Chasseneuil cedex, France
Abstract:We prove some new properties of the small Lebesgue spaces introduced by Fiorenza 7]. Combining these properties with the Poincaré–Sobolev inequalities for the relative rearrangement (see 11]), we derive some new and precises estimates either for small Lebesgue–Sobolev spaces or for quasilinear equations with data in the small Lebesgue spaces. To cite this article: A. Fiorenza, J.-M. Rakotoson, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 23–26
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