The discrete spherical maximal function: A new proof of ℓ²-boundedness

DOI10.1090/proc/15639zbMath1480.42030OpenAlexW3159749573MaRDI QIDQ5157804

Neil Lyall, Alex Newman, Ákos Magyar, Peter Woolfitt

Publication date: 20 October 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15639

zbMATH Keywords

spherical maximal functiondiscrete Hardy-Littlewood maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

• Unnamed Item
• On the maximal ergodic theorem for certain subsets of the integers
• \(L^p\)-bounds for spherical maximal operators on \(\mathbb Z^n\)
• Discrete analogues in harmonic analysis: spherical averages
• Distances and trees in dense subsets of \(\mathbb{Z}^d\)
• Maximal functions: Spherical means

This page was built for publication: The discrete spherical maximal function: A new proof of ℓ²-boundedness