Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type

DOI10.1007/s00209-004-0698-0zbMath1058.42011arXivmath/0311538OpenAlexW2001413806MaRDI QIDQ1769040

Loukas Grafakos, Michael Christ, Peter Honzík, Andreas Seeger

Publication date: 16 March 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311538

zbMATH Keywords

\(L^p\)-boundednessmaximal operatorsMikhlin-Hörmander multipliers

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)

Related Items (15)

Maximal multiplier operators in \(L^{p(\cdot)}(\mathbb{R}^n)\) spaces ⋮ Bilinear spectral multipliers on Heisenberg groups ⋮ On the consequences of a Mihlin-Hörmander functional calculus: maximal and square function estimates ⋮ A Cotlar type maximal function associated with Fourier multipliers ⋮ Multilinear spectral multipliers on Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth ⋮ Maximal operators associated with Fourier multipliers and applications ⋮ Lipschitz linearization of the maximal hyperbolic cross multiplier ⋮ \(L^p\) boundedness for maximal functions associated with multi-linear pseudo-differential operators ⋮ Maximal Marcinkiewicz multipliers ⋮ On maximal functions for Mikhlin-Hörmander multipliers ⋮ Multilinear spectral multipliers on Lie groups of polynomial growth ⋮ \(H^p\) boundedness of multilinear spectral multipliers on stratified groups ⋮ A Marcinkiewicz maximal-multiplier theorem ⋮ Maximal functions for multipliers on stratified groups ⋮ Maximal functions of multipliers on compact manifolds without boundary

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• On maximal functions generated by Fourier multipliers
• Maximal functions and Fourier transforms
• Estimates near \(L^ 1\) for Fourier multipliers and maximal functions
• \(H^p\) spaces of several variables
• A note on approximation of the identity
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