@Article{ATA-39-1, author = {Shao, Liu and Qianjun, He and Yan, Dunyan}, title = {Boundedness of the Multilinear Maximal Operator with the Hausdorff Content}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {1}, pages = {42--52}, abstract = {

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].

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2021-0002}, url = {https://global-sci.com/article/73724/boundedness-of-the-multilinear-maximal-operator-with-the-hausdorff-content} }