Hardy space estimates for the wave equation on compact Lie groups

DOI10.1016/J.JFA.2010.08.020zbMath1205.43005OpenAlexW2081719985MaRDI QIDQ609352

Lijing Sun, Jiecheng Chen, Fan, Dashan

Publication date: 30 November 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.08.020

zbMATH Keywords

Fourier series\(H^p\) spacesWave equationCompact Lie groupsOscillating multiplier

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items (13)

On boundedness of oscillating multipliers on stratified Lie groups ⋮ On multipliers on compact Lie groups ⋮ Approximation properties of combination of multivariate averages on Hardy spaces ⋮ Optimal estimate of an oscillatory operator on compact manifolds ⋮ Optimal boundedness of central oscillating multipliers on compact Lie groups ⋮ Space-time estimates on damped fractional wave equation ⋮ Bochner-Riesz means and K-functional on compact manifolds ⋮ Derivative estimates of iterated spherical average and extension ⋮ Endpoint Results for Fourier Integral Operators on Noncompact Symmetric Spaces ⋮ Modulation space estimates for the fractional integral operators ⋮ Derivative estimates of averaging operators and extension ⋮ Approximation properties of combination of multivariate averages on Triebel-Lizorkin spaces ⋮ Wave equation for sums of squares on compact Lie groups

Cites Work

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• \(L^p\) estimates for the waves equation
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• Approximation of \(H^ p\)-functions by Bochner-Riesz means on compact Lie groups
• Oscillating multipliers on Lie groups and Riemannian manifolds
• Hardy spaces on compact Lie groups
• \(L^p\)-boundedness of oscillating spectral multipliers on Riemannian manifolds
• Nontangential Maximal Functions Over Compact Riemannian Manifolds
• Extensions of Hardy spaces and their use in analysis
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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