Estimates near \(L^ 1\) for Fourier multipliers and maximal functions

DOI10.1007/BF01198570zbMath0655.42012OpenAlexW2001597998MaRDI QIDQ1109270

Andreas Seeger

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198570

zbMATH Keywords

Hörmander multiplier theoremmaximal-functionsBesov-space

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 (17)

Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups ⋮ The Hörmander multiplier theorem. II: The bilinear local \(L^2\) case ⋮ Hörmander multiplier theorem with regularity in modulation spaces ⋮ Embeddings for spaces of Lorentz-Sobolev type ⋮ Endpoint sparse domination for classes of multiplier transformations ⋮ Weighted norm inequalities for multilinear Fourier multipliers with critical Besov regularity ⋮ Spectral multipliers for Schrödinger operators ⋮ The Hörmander multiplier theorem. I: The linear case revisited ⋮ On the failure of the Hörmander multiplier theorem in a limiting case ⋮ Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type ⋮ On maximal functions for Mikhlin-Hörmander multipliers ⋮ On the Hörmander multiplier theorem and modulation spaces ⋮ Some remarks on the Mikhlin-Hörmander and Marcinkiewicz multiplier theorems: a short historical account and a recent improvement ⋮ Riesz means of Fourier series and integrals: Strong summability at the critical index ⋮ Almost everywhere convergence of quasiradial Bochner-Riesz means ⋮ Weighted weak-type (1, 1) estimates for radial Fourier multipliers via extrapolation theory ⋮ A Sharp Version of the Hörmander Multiplier Theorem

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• On analytic families of operators
• A note on spherical summation multipliers
• Embedding and multiplier theorems for 𝐻^{𝑃}(𝑅ⁿ)
• Characterization of $H^{p}(R^{n})$ in terms of generalized Littlewood-Paley g-functions
• A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers
• A note on approximation of the identity
• Interpolation Between H p Spaces: The Real Method
• The Asymptotic Behavior of a Fourier Transform and the Localization Property for Eigenfunction Expansions for some Partial Differential Operators

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