Dimension-free estimates on \(l^2 (\mathbb{Z}^d)\) for a discrete dyadic maximal function over \(l^1\) balls: small scales

DOI10.4064/cm9276-12-2023zbMATH Open1540.42025MaRDI QIDQ6545060

Jakub Niksiński

Publication date: 29 May 2024

Published in: Colloquium Mathematicum (Search for Journal in Brave)

zbMATH Keywords

discrete maximal functiondimension-free estimates\(l^1\) balls

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• Dimension-free L2 maximal inequality for spherical means in the hypercube
• Dimension free bounds for the Hardy–Littlewood maximal operator associated to convex sets
• Krawtchouk polynomials and universal bounds for codes and designs in Hamming spaces
• On Discrete Hardy–Littlewood Maximal Functions over the Balls in $${\boldsymbol {\mathbb {Z}^d}}$$ : Dimension-Free Estimates
• Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Some remarks on dimension-free estimates for the discrete Hardy-Littlewood maximal functions

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