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arXiv · 2508.05392

Dimension-free estimates for semi-commutative discrete Hardy-Littlewood maximal operators

Xudong Lai·Yue Zhang
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Abstract

For $2\leq p\leq \infty$, we establish dimension-free estimates for discrete dyadic Hardy-Littlewood maximal operators over Euclidean balls on semi-commutative $L_{p}$ space. In particular, when the radius is sufficiently large, these operators admit dimension-free $L_{p}$ bounds for all $1<p<\infty$. As applications, we derive the corresponding maximal ergodic inequalities and the bilaterally almost uniform convergence.

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Xudong Lai, Yue Zhang. 2025-08-07. Dimension-free estimates for semi-commutative discrete Hardy-Littlewood maximal operators. https://arxiv.org/abs/2508.05392

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