Sharp Bound for the Generalized m-Linear n-Dimensional Hardy-Littlewood-Polya Operator  

作　　者：Qianjun He Mingquan Wei Dunyan Yan 

机构地区：[1]School of Applied Science,Beijing Information Science and Technology University,Beijing 100192,China [2]School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China [3]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Analysis in Theory and Applications》2023年第1期28-41,共14页分析理论与应用（英文刊）

基　　金：supported by National Natural Science Foundation of China (Grant No.11871452);Beijing Information Science and Technology University Foundation (Grant No.2025031);Natural Science Foundation of Henan Province (Grant No.202300410338);the Nanhu Scholar Program for Young Scholars of Xinyang Normal University.

摘　　要：In this paper,we calculate the sharp bound for the generalized m-linear n-dimensional Hardy-Littlewood-Polya operator on power weighted central and non-central homogeneous Morrey spaces.As an application,the sharp bound for the Hardy-Littlewood-Polya operator on power weighted central and noncentral homo-geneous Morrey spaces is obtained.Finally,we also find the sharp bound for the Hausdorff operator on power weighted central and noncentral homogeneous Morrey spaces,which generalizes the previous results.

关 键 词：Sharp bound n-dimensional Hardy-Littlewood-Polya operator power weight Morrey space Hausdorff operator 

分 类 号：O177[理学—数学]