Maximal operators and singular integrals on the weighted Lorentz and Morrey spaces

被引：0
|
作者：
Nguyen Minh Chuong
Dao Van Duong
Kieu Huu Dung
机构：
[1] Institute of Mathematics,
[2] Vietnamese Academy of Science and Technology,undefined
[3] School of Mathematics,undefined
[4] Mientrung University of Civil Engineering,undefined
[5] School of Mathematics,undefined
[6] University of Transport and Communications,undefined
来源：
Journal of Pseudo-Differential Operators and Applications | 2020年 / 11卷
关键词：
Maximal function; Sublinear operator; Strongly singular integral; Commutator; weight; weight; weight; BMO space; Lorentz spaces; Morrey spaces; 42B20; 42B25; 42B99;
D O I：
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学科分类号：
摘要：
In this paper, we first give some new characterizations of Muckenhoupt type weights through establishing the boundedness of maximal operators on the weighted Lorentz and Morrey spaces. Secondly, we establish the boundedness of sublinear operators including many interesting in harmonic analysis and its commutators on the weighted Morrey spaces. Finally, as an application, the boundedness of strongly singular integral operators and commutators with symbols in BMO space are also given.
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页码：201 / 228
页数：27
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