The boundedness of maximal operators and singular integrals via Fourier transform estimates

DOI10.1007/s10114-011-0543-4zbMath1256.42022OpenAlexW2135656765MaRDI QIDQ1928156

Hong Hai Liu

Publication date: 2 January 2013

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

Full work available at URL: https://doi.org/10.1007/s10114-011-0543-4

zbMATH Keywords

Triebel-Lizorkin spacesmaximal operatorssingular integralsvector-valued inequality

Mathematics Subject Classification ID

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

Related Items (2)

Hilbert transforms along convex curves for \(l^q\)-valued functions ⋮ SINGULAR INTEGRALS SUPPORTED BY SUBVARIETIES FOR VECTOR-VALUED FUNCTIONS

Cites Work

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• A discrete transform and decompositions of distribution spaces
• Rough singular integrals on Triebel-Lizorkin space and Besov space
• Rough singular integrals supported on submanifolds
• Maximal and singular integral operators via Fourier transform estimates
• Calderón-Zygmund theory for operator-valued kernels
• Interpolation of analytic families of operators
• Problems in harmonic analysis related to curvature

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