Calderón commutators and the Cauchy integral on Lipschitz curves revisited II. Cauchy integral and generalizations

2012/01/18 by Camil Muscalu, Muscalu, Camil · 2 citations
Mathematics · #42B15 #42B20 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1201.3850

openalex publication_date 2012/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article is the second in a series of three papers, whose scope is to give new proofs to the well known theorems of Calderón, Coifman, McIntosh and Meyer. Here we treat the case of the Cauchy integral on Lipschitz curves and some of its generalizations.

Cited by

• Quantitative weighted bounds for Calderón commutator with rough kernel
• Calderón commutators and the Cauchy integral on Lipschitz curves revisited III. Polydisc extensions

Related

• Calderón commutators and the Cauchy integral on Lipschitz curves revisited I. First commutator and generalizations
• Calderón commutators and the Cauchy integral on Lipschitz curves revisited III. Polydisc extensions
• Notes of Boundedness on Cauchy Integrals on Lipschitz Curves (p=2)
• Birth and life of the L² boundedness of the Cauchy Integral on Lipschitz graphs
• Generalizations of the Cauchy Integral Theorems