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arXiv · 2311.15442

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

Jakub Niksiński
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Abstract

We give a dimension-free bound on $l^p(\mathbb{Z} ^d)$ for discrete Hardy-Littlewood operator over $l^1$ balls in $\mathbb{Z} ^d$ with small dyadic radii, where $p \in [2, \infty]$.

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Jakub Niksiński. 2023-11-26. Dimension-free estimates on $l^2 (\mathbb{Z} ^d)$ for discrete dyadic maximal function over $l^1$ balls: small scales. https://doi.org/10.4064/cm9276-12-2023

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