Abstract
We firstly describe a maximal inequality for dual 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 spaces.
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