New Calderón-Zygmund decomposition for Sobolev functions

N. Badr; F. Bernicot

Colloquium Mathematicae (2010)

  • Volume: 121, Issue: 2, page 153-177
  • ISSN: 0010-1354

Abstract

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

How to cite

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N. Badr, and F. Bernicot. "New Calderón-Zygmund decomposition for Sobolev functions." Colloquium Mathematicae 121.2 (2010): 153-177. <http://eudml.org/doc/284008>.

@article{N2010,
abstract = {We give a new Calderón-Zygmund decomposition for Sobolev spaces on a doubling Riemannian manifold. Our hypotheses are weaker than those of the already known decomposition which used classical Poincaré inequalities.},
author = {N. Badr, F. Bernicot},
journal = {Colloquium Mathematicae},
keywords = {Calderón-Zygmund decomposition; Poincaré inequality; Sobolev functions; Riemannian manifold},
language = {eng},
number = {2},
pages = {153-177},
title = {New Calderón-Zygmund decomposition for Sobolev functions},
url = {http://eudml.org/doc/284008},
volume = {121},
year = {2010},
}

TY - JOUR
AU - N. Badr
AU - F. Bernicot
TI - New Calderón-Zygmund decomposition for Sobolev functions
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 2
SP - 153
EP - 177
AB - We give a new Calderón-Zygmund decomposition for Sobolev spaces on a doubling Riemannian manifold. Our hypotheses are weaker than those of the already known decomposition which used classical Poincaré inequalities.
LA - eng
KW - Calderón-Zygmund decomposition; Poincaré inequality; Sobolev functions; Riemannian manifold
UR - http://eudml.org/doc/284008
ER -

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