Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator

Luc Deleaval, Christoph Kriegler

In this article, Fefferman-Stein inequalities in $L^p({\mathbb{R}}^d;{\ell }^q)$ withbounds independent of the dimension $d$ are proved, for all $1 \textless{} p, q \textless{} + \infty.…