Dimension-Free $L^p$-Maximal Inequalities in ${\mathbb{Z}}_{m+1}^N$

Jordan Greenblatt, Alexandra Kolla, Ben Krause

For $m\ge 2$, let $({\mathbb{Z}}_{m+1}^N,|\cdot |)$ denote the group equipped with the so-called $l^0$ metric, \[ |y| = \left| \big( y(1), \dots, y(N) \big) \right| := | \{1 \leq i…