Vector Valued Maximal Carleson Type Operators on the Weighted Lorentz Spaces

被引:0
|
作者
Dao Van Duong [1 ]
Kieu Huu Dung [2 ]
Nguyen Minh Chuong [3 ]
机构
[1] Mientrung Univ Civil Engn, Sch Math, Phu Yen 620000, Vietnam
[2] Univ Transport & Commun, Campus Ho Chi Minh City, Hanoi 100000, Vietnam
[3] Vietnamese Acad Sci & Technol, Inst Math, Hanoi 100000, Vietnam
来源
关键词
Vector-valued Carleson operator; maximal function; singular integral; A(p)-weight; Lorentz space; NORM INEQUALITIES; INTEGRALS; CONVERGENCE;
D O I
10.4171/ZAA/1667
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, by using the idea of linearizing maximal operators originated by Charles Fefferman and the TT* method of Stein-Wainger, we establish a weighted inequality for vector valued maximal Carleson type operators with singular kernels proposed by Andersen and John on the weighted Lorentz spaces with vector-valued functions.
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页码:433 / 460
页数:28
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