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Morceaux de graphes lipschitziens et intégrales singulières sur une surface. (French) Zbl 0696.42011
In order to prove the boundedness of singular integral operators acting on functions defined on certain (non-smooth) surfaces, it is desirable to decompose such a surface into pieces such that it is possible to get boundedness results by using classical (Calderon-Zygmund) techniques. In the paper under review the author introduces under suitable assumptions a rather general decomposition of a locally compact metric space and applies this decomposition to various examples such like $${\mathbb{R}}^ d$$, regular surfaces or hypersurfaces in the sense of S. Semmes.
Reviewer: N.Jacob

##### MSC:
 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
##### Keywords:
boundedness of singular integral operators
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