Capacitary Muckenhoupt Weights and Weighted Norm Inequalities for Hardy-Littlewood Maximal Operators

Long Huang, Yangzhi Zhang, Ciqiang Zhuo

Let ${\mathcal{H}}_{\infty }^{\delta }$ denote the Hausdorff content of dimension $\delta \in (0,n]$ defined on subsets of ${\mathbb{R}}^n$. The principal problem, considered in this paper, is to charac…