Hilbert transforms and maximal functions along variable flat plane curves

zbMath0886.42014MaRDI QIDQ1378956

Stephen Wainger, James Wright, Anthony Carbery

Publication date: 6 May 1998

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

boundednessLittlewood-Paley theorysingular integral operatorsmaximal functionsCalderón-Zygmund kernelHilbert transforms

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (12)

\(L^p\) bounds of maximal operators along variable planar curves in the Lipschitz regularity ⋮ Singular Radon transforms and maximal functions under convexity assumptions ⋮ A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature ⋮ Estimates for Hilbert transforms along variable general curves ⋮ \(L^2\)-boundedness of Hilbert transforms along variable curves ⋮ \(L^2\) boundedness of Hilbert transforms along variable flat curves ⋮ Hilbert transforms along variable planar curves: Lipschitz regularity ⋮ \(L^p\) boundedness of Carleson \& Hilbert transforms along plane curves with certain curvature constraints ⋮ Oscillatory hyper Hilbert transforms along variable curves ⋮ Classes of singular integral operators along variable lines ⋮ Singular Radon transforms along odd curves on the Heisenberg group ⋮ Hilbert transforms and maximal functions along variable flat curves

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