Maximal estimates for an oscillatory operator

DOI10.1016/j.na.2022.112792zbMath1501.42004OpenAlexW4210698595WikidataQ114146017 ScholiaQ114146017MaRDI QIDQ2078596

Jiecheng Chen, Fan, Dashan, Fa You Zhao

Publication date: 1 March 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2022.112792

zbMATH Keywords

convergence ratecompact Riemannian manifoldfractional Schrödinger propagator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Rate of convergence, degree of approximation (41A25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Optimal estimate of an oscillatory operator on compact manifolds

Cites Work

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• Optimal boundedness of central oscillating multipliers on compact Lie groups
• Central oscillating multipliers on compact Lie groups
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• On the boundedness of functions of (pseudo-) differential operators on compact manifolds
• Regularity properties of Fourier integral operators
• Oscillating multipliers on Lie groups and Riemannian manifolds
• \(L^p\)-boundedness of oscillating spectral multipliers on Riemannian manifolds
• Approximation of the fractional Schrödinger propagator on compact manifolds
• The spectral function of an elliptic operator
• \(H^p\) spaces of several variables
• Riesz means of eigenfunction expansions of elliptic differential operators on compact manifolds
• Hardy-Lorentz spaces and expansions in eigenfunctions of the Laplace-Beltrami operator on compact manifolds
• Nontangential Maximal Functions Over Compact Riemannian Manifolds
• Maximal operators defined by Fourier multipliers
• Estimations 𝐿^{𝑝} des solutions de l’équation des ondes sur certaines variétés coniques
• Special trigonometric series in 𝑘-dimensions