\(L^p(\mathbb R^n)\) boundedness for the maximal operator of multilinear singular integrals with Calderón-Zygmund kernels

DOI10.1007/s10114-004-0440-1zbMath1098.42015OpenAlexW2162117590MaRDI QIDQ2581172

Yan Meng, Yan, Dunyan, Sen-Hua Lan

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0440-1

zbMATH Keywords

multilinear oscillatory singular integralBMOCalderón-Zygmund kernel

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

• Unnamed Item
• A boundedness criterion for generalized Calderón-Zygmund operators
• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• A BMO estimate for multilinear singular integrals
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Weak (1,1) bounds for oscillatory singular integrals
• Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels
• \(L^ p\)-boundedness of multilinear oscillatory singular integrals with Calderón-Zygmund kernel.
• Multilinear oscillatory integrals with Calderón-Zygmund kernel
• Criterion of (L^p, L^r) boundedness for a class of multilinear oscillatory singular integrals
• Weighted estimates for commutators of linear operators

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