On radial Fourier multipliers and almost everywhere convergence

DOI10.1112/jlms/jdu066zbMath1327.42014arXiv1405.6931OpenAlexW3104618294MaRDI QIDQ5175040

Andreas Seeger, Sanghyuk Lee

Publication date: 19 February 2015

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6931

zbMATH Keywords

Lorentz spacemaximal functionsBochner-Riesz meansalmost everywhere convergencehomogeneous Herz spaceStein's square functionradial Fourier multipliers

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15)

Related Items

Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means ⋮ Endpoint bounds for quasiradial Fourier multipliers ⋮ Square function estimates for the Bochner-Riesz means ⋮ A characterization of maximal operators associated with radial fourier multipliers ⋮ Almost everywhere convergence of Bochner-Riesz means on Hardy-Sobolev spaces ⋮ New estimates of the maximal Bochner-Riesz operator in the plane ⋮ The rate of almost-everywhere convergence of Bochner-Riesz means on Sobolev spaces ⋮ Almost everywhere convergence of Bochner-Riesz means for the Hermite operators ⋮ Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups ⋮ Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators ⋮ On the rate of almost everywhere convergence of combinations and multivariate averages ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

Cites Work

• Unnamed Item
• Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
• On limits of sequences of operators
• Characterizations of Hankel multipliers
• \(L^ 2\) multipliers with power weights
• The boundedness of the maximal Bochner-Riesz operator on \(L^ 4\)(\(R^ 2\))
• Necessary conditions for quasiradial Fourier multipliers
• Regularity properties of Fourier integral operators
• Some weighted estimates for Littlewood--Paley functions and radial multipliers.
• Interpolation between weighted L\(^p\)-spaces
• On the maximal Bochner-Riesz conjecture in the plane for 𝑝<2
• Improved bounds for Stein's square functions
• On Almost Everywhere Convergence of Bochner-Riesz Means in Higher Dimensions
• On quasiradial Fourier multiplier and their maximal functions.
• Almost Everywhere Summability of Fourier Integrals

This page was built for publication: On radial Fourier multipliers and almost everywhere convergence