Abstract Hardy-Sobolev spaces and interpolation
Classical Analysis and ODEs
2010-04-20 v2 Functional Analysis
Abstract
The purpose of this work is to describe an abstract theory of Hardy-Sobolev spaces on doubling Riemannian manifolds via an atomic decomposition. We study the real interpolation of these spaces with Sobolev spaces and finally give applications to Riesz inequalities.
Cite
@article{arxiv.0901.0518,
title = {Abstract Hardy-Sobolev spaces and interpolation},
author = {Nadine Badr and Frederic Bernicot},
journal= {arXiv preprint arXiv:0901.0518},
year = {2010}
}
Comments
34 pages