Boundedness of a Class of Oscillatory Singular Integral Operators and Their Commutators with Rough Kernel on Weighted Central Morrey Spaces

被引：1
|
作者：
Zhou, Yongliang [1 ]
Yan, Dunyan [1 ]
Wei, Mingquan [2 ]
机构：
[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
来源：
MATHEMATICS | 2020年 / 8卷 / 09期
关键词：
oscillatory singular integral; commutator; weighted; central Morrey space;
D O I：
10.3390/math8091455
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish the boundedness of a class of oscillatory singular integral operators with rough kernel on central Morrey spaces. Moreover, the boundedness for each of their commutators on weighted central Morrey spaces was also obtained. We generalized some existing results.
引用
收藏
页数：16
相关论文
共 50 条
  • [21] MAXIMAL AND SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
    Guliyev, Vagif S.
    Hasanov, Javanshir J.
    Badalov, Xayyam A.
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2018, 21 (01): : 41 - 61
  • [22] Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces
    Guliyev, Vagif S.
    Aliyev, Seymur S.
    Karaman, Turhan
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [23] On the Boundedness of Integral Operators in Weighted Grand Morrey Spaces
    V. M. Kokilashvili
    A. N. Meskhi
    [J]. Proceedings of the Steklov Institute of Mathematics, 2021, 312 : 194 - 206
  • [24] Boundedness of sublinear operators and their commutators on generalized central Morrey spaces
    Yun Fan
    [J]. Journal of Inequalities and Applications, 2013
  • [25] Necessary and Sufficient Conditions for Boundedness of Commutators of the General Fractional Integral Operators on Weighted Morrey Spaces
    Si, Zengyan
    Zhao, Fayou
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [26] Boundedness of sublinear operators and their commutators on generalized central Morrey spaces
    Fan, Yun
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [27] Lp boundedness for a class of commutators of singular integral operators
    Yuan, X.-F.
    Song, L.-Y.
    [J]. Zhengzhou Daxue Xuebao/Journal of Zhengzhou University, 2000, 32 (04): : 1 - 6
  • [28] BOUNDEDNESS AND COMPACTNESS OF COMMUTATORS FOR BILINEAR FRACTIONAL INTEGRAL OPERATORS ON MORREY SPACES
    Guo, Q.
    Zhou, J.
    [J]. ANALYSIS MATHEMATICA, 2021, 47 (01) : 81 - 103
  • [29] Boundedness and Compactness of Commutators for Bilinear Fractional Integral Operators on Morrey Spaces
    Q. Guo
    J. Zhou
    [J]. Analysis Mathematica, 2021, 47 : 81 - 103
  • [30] Bilinear rough singular integral operators on Morrey spaces
    Salim, Daniel
    Sawano, Yoshihiro
    Zanu, Pebrudal
    [J]. JOURNAL OF ANALYSIS, 2020, 28 (03): : 817 - 825
12345