Geodesic
New Calderón–Zygmund decomposition for Sobolev functions
N. Badr 1   ; F. Bernicot 2
1 Université de Lyon; CNRS Université Lyon 1 Institut Camille Jordan 43 boulevard du 11 Novembre 1918 F-69622 Villeurbanne Cedex, France
2 Université de Paris-Sud F-91405 Orsay Cedex, France
Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 153-177 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm121-2-1
Keywords: calder zygmund decomposition sobolev spaces doubling riemannian manifold hypotheses weaker those already known decomposition which classical poincar inequalities

N. Badr  1   ; F. Bernicot  2

1 Université de Lyon; CNRS Université Lyon 1 Institut Camille Jordan 43 boulevard du 11 Novembre 1918 F-69622 Villeurbanne Cedex, France
2 Université de Paris-Sud F-91405 Orsay Cedex, France 
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     title = {New {Calder\'on{\textendash}Zygmund} decomposition
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     journal = {Colloquium Mathematicum},
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 for Sobolev functions
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N. Badr; F. Bernicot. New Calderón–Zygmund decomposition
 for Sobolev functions. Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 153-177. doi: 10.4064/cm121-2-1

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