Calderón commutators and the Cauchy integral on Lipschitz curves revisited III. Polydisc extensions

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

paper · pdf · doi:10.48550/arxiv.1201.3855

25 pages

arxiv created 2012/01/18 · openalex publication_date 2012/01/18 · arxiv updated 2012/01/19 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

This article is the last 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 extend the results of the previous two papers to the polydisc setting. In particular, we solve completely an open question of Coifman from the early eighties.

Citations

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

Cited by

• The Interplay of Shifted Square and Maximal Function Estimates in the Context of Multilinear Fourier Multipliers
• Some remarks on the n-linear Hilbert transform for n≥ 4

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