Maximal functions and Hilbert transforms along variable flat curves

DOI10.4310/MRL.1999.v6.n2.a12zbMath0959.42007OpenAlexW2314462739MaRDI QIDQ1574704

Sonsoles Pérez, Anthony Carbery

Publication date: 13 August 2000

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1999.v6.n2.a12

zbMATH Keywords

maximal functionHilbert transformoscillatory singular integralvariable curve

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators on function spaces (general) (47B38)

Related Items (11)

\(L^p\) bounds of maximal operators along variable planar curves in the Lipschitz regularity ⋮ Singular Radon transforms and maximal functions under convexity assumptions ⋮ \(L^2\)-boundedness of Hilbert transforms along variable curves ⋮ Oscillatory hyper Hilbert transforms along curves ⋮ Sharp endpoint estimates for eigenfunctions restricted to submanifolds of codimension 2 ⋮ \(L^2\) boundedness of Hilbert transforms along variable flat curves ⋮ Hilbert transforms along variable planar curves: Lipschitz regularity ⋮ Oscillatory hyper Hilbert transforms along variable curves ⋮ \(L^p\)-estimates for singular integrals and maximal operators associated with flat curves on the Heisenberg group ⋮ Singular Radon transforms along odd curves on the Heisenberg group ⋮ Hilbert transforms and maximal functions along variable flat curves

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