Boundedness of the Multilinear Maximal Operator with the Hausdorff Content
Shao Liu, Qianjun He, Dunyan Yan · Analysis in Theory and Applications · 2023
In this paper, we establish the strong and weak boundedness of the multilinear maximal operator in the setting of the Choquet integral with respect to the $α$-dimensional Hausdorff content. Our results cover Orobitg and Verdera's results in [8].