Maximal inequalities for dual Sobolev spaces $W^{-1,p}$ and applications to interpolation

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dc.creatorBernicot, Frederic
dc.date2008-12-16
dc.date.accessioned2026-07-07T12:13:20Z
dc.date.available2026-07-07T12:13:20Z
dc.descriptionWe firstly describe a maximal inequality for dual Sobolev spaces W^{-1,p}. This one corresponds to a "Sobolev version" of usual properties of the Hardy-Littlewood maximal operator in Lebesgue spaces. Even in the euclidean space, this one seems to be new and we develop arguments in the general framework of Riemannian manifold. Then we present an application to obtain interpolation results for Sobolev spaces.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0812.3075
dc.identifierhttp://arxiv.org/abs/0812.3075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210814
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subject46E35; 42B25; 46B70
dc.titleMaximal inequalities for dual Sobolev spaces $W^{-1,p}$ and applications to interpolation
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