A class of multilinear oscillatory singular integrals related to block spaces

DOI10.2748/tmj/1113246668zbMath1059.42012OpenAlexW1972435957MaRDI QIDQ1769449

Lu, Shanzhen, Huo Xiong Wu

Publication date: 21 March 2005

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113246668

zbMATH Keywords

kernel functionblock decompositionmultilinear oscillatory singular integral operatorweighted \(L^p\)-boundedness

Mathematics Subject Classification ID

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

Related Items (4)

Archimedean zeta functions and oscillatory integrals ⋮ A note on certain block spaces on the unit sphere ⋮ Non-standard commutators for rough oscillatory singular integrals ⋮ Boundedness for a class of fractional integrals with a rough kernel related to block spaces

Cites Work

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• Block Spaces on the Unit Sphere in R n
• On Singular Integrals
• On functions of bounded mean oscillation
• Criterion of (L^p, L^r) boundedness for a class of multilinear oscillatory singular integrals
• Another Characterization of BMO
• A note on the multilinear oscillatory singular integral operators

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