Radial Fourier multipliers in high dimensions

DOI10.1007/s11511-011-0059-xzbMath1219.42006arXiv0902.0943OpenAlexW1987289690MaRDI QIDQ536616

Andreas Seeger, F. L. Nazarov, Ya Ryong Heo

Publication date: 19 May 2011

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.0943

zbMATH Keywords

Hardy spacewave equationTriebel-Lizorkin spaceradial Fourier multiplier

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Wave equation (35L05) (H^p)-spaces (42B30)

Related Items (26)

Endpoint bounds for quasiradial Fourier multipliers ⋮ Fourier multipliers in \(\mathrm{SL}_n(\mathbb{R})\) ⋮ Variation bounds for spherical averages ⋮ A characterization of maximal operators associated with radial fourier multipliers ⋮ Radial Fourier multipliers in \(\mathbb{R}^3\) and \(\mathbb{R}^4\) ⋮ Remarks on the multiplier operators associated with a cylindrical distance function ⋮ Remarks on dimension of unions of curves ⋮ Improved local smoothing estimate for the wave equation in higher dimensions ⋮ Local smoothing and Hardy spaces for Fourier integral operators on manifolds ⋮ On radial and conical Fourier multipliers ⋮ A sharp square function estimate for the cone in \(\mathbb{R}^3\) ⋮ On the cone multiplier in \(\mathbb R^3\) ⋮ Regularity of fractional maximal functions through Fourier multipliers ⋮ Fourier multipliers in Hardy spaces in tubes over open cones ⋮ A note on the \(L^p\) integrability of a class of Bochner-Riesz kernels ⋮ Characterizations of Hankel multipliers ⋮ An endpoint estimate for the cone multiplier ⋮ Estimates for the kinetic transport equation in hyperbolic Sobolev spaces ⋮ Local smoothing estimates for some half-wave operators ⋮ \(L^1-L^p\) estimates for radial solutions of the wave equation and application ⋮ Endpoint bounds for a class of spectral multipliers on compact manifolds ⋮ Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds ⋮ \(L^p\)-\(L^q\) local smoothing estimates for the wave equation via \(k\)-broad Fourier restriction ⋮ Local smoothing and Hardy spaces for Fourier integral operators ⋮ BOUNDS FOR A CONE-TYPE MULTIPLIER OPERATOR OF NEGATIVE INDEX IN ⋮ Sharp Local Smoothing Estimates for Fourier Integral Operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators
• Estimates for translation invariant operators in \(L^p\) spaces
• Characterizations of Hankel multipliers
• \(L^p\) estimates for the waves equation
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• Propagation of singularities and maximal functions in the plane
• Besicovitch type maximal operators and applications to Fourier analysis
• On spaces of Triebel-Lizorkin type
• A local smoothing estimate in higher dimensions.
• Local smoothing type estimates on \(L^p\) for large \(p\)
• The Bochner-Riesz conjecture implies the restriction conjecture
• \(H^p\) spaces of several variables
• Remarks on singular convolution operators
• Endpoint maximal and smoothing estimates for Schrödinger equations
• On plate decompositions of cone multipliers
• The weak-type endpoint Bochner-Riesz conjecture and related topics
• Improved bounds for high dimensional cone multipliers
• Oscillatory integrals and multiplier problem for the disc
• Some Maximal Inequalities
• Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers

This page was built for publication: Radial Fourier multipliers in high dimensions