Cauchy integrals on Lipschitz curves and related operators

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RESUMO

In this note, we establish certain properties of the Cauchy integral on Lipschitz curves and prove the Lp-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 no 211, Université Paris XI] on the continuity of the so-called commutator operators.

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