TY - JOUR
T1 - Boundedness of the Multilinear Maximal Operator with the Hausdorff Content
AU - Liu , Shao
AU - He , Qianjun
AU - Yan , Dunyan
JO - Analysis in Theory and Applications
VL - 1
SP - 42
EP - 52
PY - 2023
DA - 2023/03
SN - 39
DO - http://doi.org/10.4208/ata.OA-2021-0002
UR - https://global-sci.org/intro/article_detail/ata/21460.html
KW - Multilinear maximal operator, Hausdorff content, Choquet integrals.
AB - <p style="text-align: justify;">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&#39;s results in [8].</p>