Criterion of (Lp, Lr) boundedness for a class of multilinear oscillatory singular integrals

DOI10.1017/S0027763000006541zbMath0929.42008OpenAlexW1519308738MaRDI QIDQ3839740

Lu, Shanzhen, Chen, Wengu, Guo'en Hu

Publication date: 18 January 2000

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000006541

zbMATH Keywords

phase functionmultilinear oscillatory singular integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items

On multilinear oscillatory singular integrals with rough kernels, Two-weight norm inequalities for a class of rough multilinear operators, A Remark on Weighted $(L^p ,L^r )$-Boundedness for Rough Multilinear Oscillatory Singular Integrals, A criterion on weighted 𝐿^{𝑝} boundedness for rough multilinear oscillatory singular integrals, Multilinear oscillatory integrals with Calderón-Zygmund kernel, Non-standard commutators for rough oscillatory singular integrals, A remark on multilinear oscillatory singular integrals, A class of multilinear oscillatory singular integrals related to block spaces, Weighted estimate for the multilinear oscillatory singular integral operators, \(L^p(\mathbb R^n)\) boundedness for the maximal operator of multilinear singular integrals with Calderón-Zygmund kernels

Cites Work

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• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Weak (1,1) bounds for oscillatory singular integrals