Multilinear oscillatory integrals with Calderón-Zygmund kernel

DOI10.1007/BF02889505zbMath0954.42008MaRDI QIDQ1974218

Lu, Shanzhen

Publication date: 8 February 2001

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacefractional integrationmultilinear operator\(H^p\) spaceCalderón-Zygmund kernels\(L^p\)-boundedness criterionmultilinear oscillatory singular integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (5)

Boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces ⋮ Weak type endpoint estimates for multilinear \(\theta\)-type Calderón-Zygmund operators ⋮ Lipschitz estimates for fractional multilinear singular integral on variable exponent Lebesgue spaces ⋮ \(L^p(\mathbb R^n)\) boundedness for the maximal operator of multilinear singular integrals with Calderón-Zygmund kernels ⋮ Norm inequalities for higher-order commutators of one-sided oscillatory singular integrals

Cites Work

• A BMO estimate for multilinear singular integrals
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels
• On a multilinear oscillatory singular integral operator. I
• Criterion of (L^p, L^r) boundedness for a class of multilinear oscillatory singular integrals

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