@Article{ATA-39-42, author = {Liu , ShaoHe , Qianjun 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 = {http://global-sci.org/intro/article_detail/ata/21460.html} }