On the Commutator of Marcinkiewicz Integrals with Rough Kernels in Variable Morrey-Type Spaces

被引：0
|
作者：
M. Qu
L. Wang
机构：
[1] Anhui Normal University,School of Mathematics and Statistics
[2] Anhui Polytechnic University,School of Mathematics and Physics
来源：
Ukrainian Mathematical Journal | 2020年 / 72卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Within the framework of variable-exponent Morrey and Morrey–Herz spaces, we prove some boundedness results for the commutator of Marcinkiewicz integrals with rough kernels. The proposed approach is based on the theory of variable exponents and on the generalization of the BMO-norms.
引用
收藏
页码：1080 / 1099
页数：19
相关论文
共 50 条
  • [1] On the Commutator of Marcinkiewicz Integrals with Rough Kernels in Variable Morrey-Type Spaces
    Qu, M.
    Wang, L.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2020, 72 (07) : 1080 - 1099
  • [2] COMMUTATORS OF MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS ON HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT
    Wang, Hongbin
    Yan, Dunyan
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (04): : 1173 - 1188
  • [3] On the Commutators of Marcinkiewicz Integrals with Rough Kernels in Weighted Lebesgue Spaces
    Wen, Y. -M.
    Wu, H. -X.
    [J]. ANALYSIS MATHEMATICA, 2020, 46 (03) : 619 - 638
  • [4] On the Commutators of Marcinkiewicz Integrals with Rough Kernels in Weighted Lebesgue Spaces
    Y.-M. Wen
    H.-X. Wu
    [J]. Analysis Mathematica, 2020, 46 : 619 - 638
  • [5] Fractional type Marcinkiewicz integral and its commutator on grand variable Herz-Morrey spaces
    Chen, Xijuan
    Lu, Guanghui
    Tao, Wenwen
    [J]. JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (03)
  • [6] MARCINKIEWICZ-TYPE INTERPOLATION THEOREM AND ESTIMATES FOR CONVOLUTIONS FOR MORREY-TYPE SPACES
    Burenkov, V., I
    Chigambayeva, D. K.
    Nursultanov, E. D.
    [J]. EURASIAN MATHEMATICAL JOURNAL, 2018, 9 (02): : 82 - 88
  • [7] Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries
    Burenkov, V. I.
    Chigambayeva, D. K.
    Nursultanov, E. D.
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (01) : 87 - 108
  • [8] Morrey-Type Spaces on Gauss Measure Spaces and Boundedness of Singular Integrals
    Liu, Liguang
    Sawano, Yoshihiro
    Yang, Dachun
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (02) : 1007 - 1051
  • [9] Morrey-Type Spaces on Gauss Measure Spaces and Boundedness of Singular Integrals
    Liguang Liu
    Yoshihiro Sawano
    Dachun Yang
    [J]. The Journal of Geometric Analysis, 2014, 24 : 1007 - 1051
  • [10] Generalized Commutators for Marcinkiewicz Type Integrals with Variable Kernels
    Hui-xia Mo 1
    [J]. Acta Mathematicae Applicatae Sinica, 2011, 27 (03) : 471 - 480
12345