Some Estimates of Bilinear Hausdorff Operators on Stratified Groups

被引：2
|
作者：
Zhang, Qi [1 ]
Zhao, Jiman [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
ANALYSIS IN THEORY AND APPLICATIONS | 2020年 / 36卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Stratified group; Hausdorff operator; bilinear; sharp estimate; weighted Lebesgue space; Morrey space;
D O I：
10.4208/ata.OA-2019-0034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give four kinds of sharp estimates of two variants of bilinear Hausdorff operators on stratified groups, involving weighted Lebesgue spaces, classical Morrey spaces and central Morrey spaces. Meanwhile, some necessary and sufficient conditions of boundness are obtained.
引用
收藏
页码：200 / 216
页数：17
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