Boundedness of the Multilinear Maximal Operator with the Hausdorff Content  

作　　者：Shao Liu Qianjun He Dunyan Yan 

机构地区：[1]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China [2]School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,China

出　　处：《Analysis in Theory and Applications》2023年第1期42-52,共11页分析理论与应用（英文刊）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.11871452 and 12071473);Beijing Information Science and Technology University Foundation (Grant No.2025031).

摘　　要：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 theαdimensional Hausdorff content.Our results cover Orobitg and Verdera’s results in[8].

关 键 词：Multilinear maximal operator Hausdorff content Choquet integrals 

分 类 号：O177[理学—数学]