English

New Calder\'on-Zygmund decompositions

Functional Analysis 2009-11-10 v1

Abstract

We state a new Calderon-Zygmund decomposition for Sobolev spaces on a doubling Riemannian manifold. Our hypotheses are weaker than those of the already known decomposition which used classical Poincare inequalities.

Keywords

Cite

@article{arxiv.0911.1474,
  title  = {New Calder\'on-Zygmund decompositions},
  author = {Nadine Badr and Frédéric Bernicot},
  journal= {arXiv preprint arXiv:0911.1474},
  year   = {2009}
}

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22 pages