Derivative estimates of iterated spherical average and extension

DOI10.1007/s10114-021-9411-zzbMath1470.42043OpenAlexW3186083011MaRDI QIDQ2044787

Junyan Zhao, Meng Wang

Publication date: 10 August 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-9411-z

zbMATH Keywords

Bessel functionwave operator\(H^p\) spacespherical mean\(H^p\) multiplier

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Linear operators on function spaces (general) (47B38) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) (H^p)-spaces (42B30)

Cites Work

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• Hardy space estimates for the wave equation on compact Lie groups
• \(L^p\) estimates for the waves equation
• Certain averaging operators on Lebesgue spaces
• Block-Sobolev spaces and the rate of almost everywhere convergence of Bochner-Riesz means
• Approximation properties of combination of multivariate averages on Hardy spaces
• A note on iterated spherical average on Lebesgue spaces
• Maximal functions: Spherical means
• Classical Fourier Analysis

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