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：
暂无
中图分类号：
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.
引用
收藏
页码：201 / 228
页数：27
相关论文
共 50 条
  • [1] Maximal operators and singular integrals on the weighted Lorentz and Morrey spaces
    Nguyen Minh Chuong
    Dao Van Duong
    Kieu Huu Dung
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (01) : 201 - 228
  • [2] Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces
    Liu, Feng
    Cui, Peng
    SCIENCE CHINA-MATHEMATICS, 2022, 65 (06) : 1267 - 1292
  • [3] Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces
    Feng Liu
    Peng Cui
    ScienceChina(Mathematics), 2022, 65 (06) : 1267 - 1292
  • [4] Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces
    Feng Liu
    Peng Cui
    Science China Mathematics, 2022, 65 : 1267 - 1292
  • [5] VARIATION OPERATORS FOR COMMUTATORS OF ROUGH SINGULAR INTEGRALS ON WEIGHTED MORREY SPACES
    Liu, Feng
    Fu, Zunwei
    Wu, Yan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (01): : 263 - 282
  • [6] Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces
    Yongming Wen
    Huoxiong Wu
    Qingying Xue
    Chinese Annals of Mathematics, Series B, 2023, 44 : 391 - 406
  • [7] Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces
    Wen, Yongming
    Wu, Huoxiong
    Xue, Qingying
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2023, 44 (03) : 391 - 406
  • [8] Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces
    Yongming WEN
    Huoxiong WU
    Qingying XUE
    Chinese Annals of Mathematics,Series B, 2023, (03) : 391 - 406
  • [9] Weighted Hardy and singular operators in Morrey spaces
    Samko, Natasha
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 350 (01) : 56 - 72
  • [10] Commutators for multilinear singular integrals on weighted Morrey spaces
    Wang, Songbai
    Jiang, Yinsheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
12345