Dimension-free estimates on for a discrete dyadic maximal function over l^1 balls: small scales
Tom 175 / 2024
Colloquium Mathematicum 175 (2024), 37-54
MSC: Primary 42B15; Secondary 42B25
DOI: 10.4064/cm9276-12-2023
Opublikowany online: 24 January 2024
Streszczenie
We give a dimension-free bound on l^p(\mathbb Z ^d) for the discrete Hardy–Littlewood operator over the l^1 balls in \mathbb Z ^d with small dyadic radii, where p \in [2, \infty ].