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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.)
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