Maximal inequalities for dual Sobolev spaces $W^{-1,p}$ and applications to interpolation
Functional Analysis
2008-12-17 v1 Classical Analysis and ODEs
Abstract
We 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.
Keywords
Cite
@article{arxiv.0812.3075,
title = {Maximal inequalities for dual Sobolev spaces $W^{-1,p}$ and applications to interpolation},
author = {Frederic Bernicot},
journal= {arXiv preprint arXiv:0812.3075},
year = {2008}
}
Comments
18 pages