By Jean Bourgain and others

We show that the discrete Hardy-Littlewood maximal functions associated with the Euclidean balls in \(\mathbb Z^d\) with dyadic radii have bounds independent of the dimension on \(\ell^p(\mathbb Z^d)\) for \(p\in[2, \infty]\).

November 2, 2019

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On discrete Hardy-Littlewood maximal functions over the balls in $\mathbb Z^d$: dimension-free estimates

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