On maximal functions generated by Fourier multipliers

DOI10.1007/BF02384428zbMath0584.42012MaRDI QIDQ1070472

Henry Dappa, Walter Trebels

Publication date: 1985

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Fourier multiplierFourier transformationHardy-Littlewood maximal functionCalderon-Zygmund theoryStein's surface spherical maximal function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

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An almost-orthogonality principle with applications to maximal functions associated to convex bodies ⋮ Estimates near \(L^ 1\) for Fourier multipliers and maximal functions ⋮ On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates ⋮ Maximal operators associated with Fourier multipliers and applications ⋮ Cwikel's bound reloaded ⋮ Lipschitz linearization of the maximal hyperbolic cross multiplier ⋮ Strong variational and jump inequalities in harmonic analysis ⋮ Weak type estimates of square functions associated with quasiradial Bochner-Riesz means on certain Hardy spaces ⋮ On the rate of convergence of certain summability methods for Fourier integrals of \(L^ 2\)-functions ⋮ \(L^p\) boundedness for maximal functions associated with multi-linear pseudo-differential operators ⋮ Weak type estimates on certain Hardy spaces for smooth cone type multipliers ⋮ Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type ⋮ Stein's square function \(G_\alpha \) and sparse operators ⋮ On maximal functions for Mikhlin-Hörmander multipliers ⋮ On the rate of almost everywhere convergence of Abel-Cartwright means of \(L^p (\mathbb{R}^n)\) ⋮ Almost everywhere convergence of quasiradial Bochner-Riesz means ⋮ On the rate of almost everywhere convergence of certain classical integral means ⋮ Weighted weak-type (1, 1) estimates for radial Fourier multipliers via extrapolation theory

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