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Article

Cauchy integrals on Lipschitz curves and related operators

A. P. CalderónDepartment of Mathematics, University of Chicago, Chicago, Illinois 60637
1977en
ABI

Abstract

In this note, we establish certain properties of the Cauchy integral on Lipschitz curves and prove the L(p)-boundedness of some related operators. In particular, we obtain the recent results of R. R. Coifman and Y. Meyer [(1976) "Commutateurs d'intégrales singulières:" Analyse harmonique d'Orsay n(o) 211, Université Paris XI] on the continuity of the so-called commutator operators.

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Cited by 30 references