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.
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页码：201 / 228
页数：27
相关论文
共 82 条
  • [1] Adams DR(1975)A note on Riesz potentials Duke Math. J. 4 765-778
  • [2] Álvarez J(1986)Vector valued inequalities for strongly Calderón–Zygmund operators Rev. Mat. Iberoam. 2 405-426
  • [3] Milman M(2000)Spaces of bounded Collect. Math. 51 1-47
  • [4] Alvarez J(1981)-central mean oscillation, Morrey spaces, and Studia Math. 69 19-31
  • [5] Guzmán-Partida M(1961)-central Carleson measures Duke Math. J. 28 301-324
  • [6] Lakey J(1988)Weighted inequalities for vector-valued maximal functions and singular integrals Rend. Sem. Mat. Fis. Milano. 58 253-284
  • [7] Andersen K(1982)The space Indiana Univ. Math. J. 31 109-120
  • [8] John R(1974) with mixed norm Studia Math. 51 241-250
  • [9] Benedek A(2010)Elliptic second order equations J. Math. Anal. Appl. 362 523-533
  • [10] Panzone R(2018)The Hardy–Littlewood maximal function on J. Geom. Anal. 28 3081-3108
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