Cauchy integrals on Lipschitz curves and related operators

1977/04/01 by A. P. Calderón · 4 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Banach Space Theory #Mathematical Analysis and Transform Methods

paper · doi:10.1073/pnas.74.4.1324

openalex publication_date 1977/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

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.

Citations

• On commutators of singular integrals and bilinear singular integrals

Cited by

• Hardy Spaces over Half-strip Domains
• Quadratic estimates and functional calculi of perturbed Dirac operators
• Boundary Integral Equations
• Alberto Calderón [wikipedia]