Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups

被引：0
|
作者：
Yingjie Sun
Jiman Zhao
机构：
[1] Taishan College of Science and Technology,Department of Mathematics and Physics Teaching
[2] Beijing Normal University,School of Mathematical Sciences
来源：
Journal of Pseudo-Differential Operators and Applications | 2022年 / 13卷
关键词：
Multilinear Hausdorff operator; Commutator; Two-weighted Morrey-Herz space; Central BMO function; Stratified group; 42B35; 26D15; 47H60; 43A80;
D O I：
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学科分类号：
摘要：
In this paper, we study the multilinear Hausdorff operators and their commutators on stratified groups. We obtain some sufficient and necessary conditions for the boundedness of multilinear Hausdorff operators on two-weighted central Morrey spaces, two-weighted Herz spaces and two-weighted Morrey-Herz spaces. Furthermore, some sufficient conditions for the boundedness of commutators generated by multilinear Hausdorff operators and weighted central BMO functions on such spaces are shown.
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