Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions
DOI10.3934/cpaa.2023065zbMath1526.44002arXiv2201.00327OpenAlexW4381793833MaRDI QIDQ6110953
Luz Roncal, Tomasz Zachary Szarek, Adam Nowak
Publication date: 6 July 2023
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.00327
maximal operatorradial functionweak type estimatesharp estimateweighted estimatespherical Radon transformrestricted weak type estimatespherical meanendpoint result\( L^p\) estimate
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)
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