Some Estimates for o-type Calder o acute accent n-Zygmund Operators and Linear Commutators on Certain Weighted Amalgam Spaces

被引:2
作者
Wang, Hua [1 ]
机构
[1] Xinjiang Univ, Sch Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
来源
ANALYSIS IN THEORY AND APPLICATIONS | 2022年 / 38卷 / 04期
关键词
o-type Caldero?n-Zygmund operators; commutators; weighted amalgam spaces; Muckenhoupt weights; Orlicz spaces; INTRINSIC SQUARE FUNCTIONS; NORM INEQUALITIES; 2-WEIGHT; LP;
D O I
10.4208/ata.OA-2020-0034
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we first introduce some new kinds of weighted amalgam spaces. Then we discuss the strong type and weak type estimates for a class of Caldero ' n-Zygmund type operators To in these new weighted spaces. Furthermore, the strong type estimate and endpoint estimate of linear commutators [b, To] formed by b and To are established. Also we study related problems about two-weight, weak type inequalities for To and [b, To] in the weighted amalgam spaces and give some results.
引用
收藏
页码:361 / 393
页数:33
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