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. 1977 Apr;74(4):1324–1327. doi: 10.1073/pnas.74.4.1324

Cauchy integrals on Lipschitz curves and related operators

A P Calderón 1
PMCID: PMC430741  PMID: 16578748

Abstract

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.

Keywords: commutators, singular integrals, weighted inequalities

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Benedek A., Calderón A. P., Panzone R. CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS. Proc Natl Acad Sci U S A. 1962 Mar;48(3):356–365. doi: 10.1073/pnas.48.3.356. [DOI] [PMC free article] [PubMed] [Google Scholar]
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