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

被引：0

作者：

Nguyen Minh Chuong ^{[1
]}

Dao Van Duong ^{[2
]}

Kieu Huu Dung ^{[3
]}

机构：

[1] Vietnamese Acad Sci & Technol, Inst Math, Hanoi, Vietnam

[2] Mientrung Univ Civil Engn, Sch Math, Phu Yen, Vietnam

[3] Univ Transport & Commun, Sch Math, Hanoi, Vietnam

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2020年 / 11卷 / 01期

关键词：

Maximal function; Sublinear operator; Strongly singular integral; Commutator; A(p) weight; A(p; 1); weight; A(p)(phi) weight; BMO space; Lorentz spaces; Morrey spaces; NORM INEQUALITIES; PSEUDODIFFERENTIAL-OPERATORS; SUBLINEAR-OPERATORS; HARDY; COMMUTATORS; BOUNDEDNESS; POTENTIALS; STOKES; NAVIER; LP;

D O I：

10.1007/s11868-019-00277-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：201 / 228

页数：28

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