Maximal estimates for a generalized spherical mean Radon transform acting on radial functions

DOI10.1007/S10231-019-00933-XzbMath1450.44002arXiv1811.01246OpenAlexW3104274245WikidataQ126623924 ScholiaQ126623924MaRDI QIDQ778058

Luz Roncal, Óscar Ciaurri, Adam Nowak

Publication date: 30 June 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01246

zbMATH Keywords

wave equationmaximal operatorradial functionEuler-Poisson-Darboux equationweighted estimatespherical Radon transformaxially symmetric solutionspherical meanconvergence to initial data

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Wave equation (35L05) Radon transform (44A12) Initial value problems for second-order hyperbolic equations (35L15) Euler-Poisson-Darboux equations (35Q05) Harmonic analysis and PDEs (42B37) Axially symmetric solutions to PDEs (35B07)

Related Items (2)

\(L^p -L^q\) estimates for generalized spherical averages ⋮ Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions

Cites Work

• Averages in the plane over convex curves and maximal operators
• The spherical maximal operator on radial functions
• Wave front sets, local smoothing and Bourgain's circular maximal theorem
• Radial solutions to the wave equation
• Estimates for radial solutions to the wave equation
• Maximal functions: Spherical means
• Two-Weight Mixed Norm Estimates for a Generalized Spherical Mean Radon Transform Acting on Radial Functions
• On local smoothing problems and Stein’s maximal spherical means

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