On commutators of singular integrals and bilinear singular integrals

1975/01/01 by R. R. Coifman, Ronald R. Coifman, Yves Meyer · 507 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Bilinear interpolation #Integral equation #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Pure mathematics #Singular integral #Singular integral operators #Singular solution

paper · pdf · doi:10.1090/s0002-9947-1975-0380244-8

published in Transactions of the American Mathematical Society 212, 315 (American Mathematical Society)

openalex publication_date 1975/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

L^p estimates for multilinear singular integrals generalizing Calderón’s commutator integral are obtained. The methods introduced involve Fourier and Mellin analysis.

Citations

• Hp spaces of several variables

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Related

• Commutators of bilinear bi-parameter singular integrals
• Modern singular integral theory with mild kernel regularity
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