\(L^ p\)-boundedness of multilinear oscillatory singular integrals with Calderón-Zygmund kernel.

zbMath1054.42013MaRDI QIDQ1609729

Lu, Shanzhen, Yan, Dunyan

Publication date: 15 August 2002

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

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10)

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Two characterizations of central BMO space via the commutators of Hardy operators ⋮ A remark on fractional type multiple weight classes and its application ⋮ Equivalence of operator norm for Hardy-Littlewood maximal operators and their truncated operators on Morrey spaces ⋮ Boundedness for the generalized commutator of Sjölin type operators ⋮ A characterization of Campanato space via commutator of fractional integral ⋮ Olsen-type inequalities for the generalized commutator of multilinear fractional integrals ⋮ Weak type endpoint estimates for multilinear \(\theta\)-type Calderón-Zygmund operators ⋮ A note on Hardy-Littlewood maximal operators ⋮ Weak-type endpoint estimates for multilinear singular integral operators ⋮ \(L^p(\mathbb R^n)\) boundedness for the maximal operator of multilinear singular integrals with Calderón-Zygmund kernels ⋮ Compactness of the Commutators of Fractional Hardy Operator with Rough Kernel ⋮ Norm inequalities for higher-order commutators of one-sided oscillatory singular integrals

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