The Fefferman-Stein type inequalities for the multilinear strong maximal functions

Juan Zhang, Hiroki Saito, Qingying Xue

Let $\vec{\omega }=({\omega }_1,...,{\omega }_m)$ be a multiple weight and $\{{\Psi }_j{\}}_{j=1}^m$ be a sequence of Young functions. Let ${\mathcal{M}}_{\mathcal{R}}^{\vec{\Psi }}$ be the multilinear strong ma…