Morceaux de graphes lipschitziens et intégrales singulières sur une surface (Q910651)

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.