Boundedness of sublinear operators on weighted grand Herz-Morrey spaces

被引:0
|
作者
Zhang, Wanjing [1 ]
He, Suixin [1 ,2 ]
Zhang, Jing [1 ,2 ]
机构
[1] Yili Normal Univ, Sch Math & Stat, Yining 835000, Xinjiang, Peoples R China
[2] Yili Normal Univ, Inst Appl Math, Yining 835000, Xinjiang, Peoples R China
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 08期
关键词
sublinear operator; multilinear commutators; grand Herz-Morrey space; variable exponent; exponent; weight; VARIABLE EXPONENT; MAXIMAL-FUNCTION; BESOV-SPACES; COMMUTATORS; SMOOTHNESS;
D O I
10.3934/math.2023888
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce weighted grand Herz-Morrey type spaces and prove the boundedness of sublinear operators and their multilinear commutators on these spaces. The results are still new even in the unweighted setting.
引用
收藏
页码:17381 / 17401
页数:21
相关论文
共 50 条
  • [1] BOUNDEDNESS OF SOME SUBLINEAR OPERATORS ON WEIGHTED VARIABLE HERZ-MORREY SPACES
    Wang, Liwei
    Shu, Lisheng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (01): : 31 - 42
  • [2] Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents
    Wang, Shengrong
    Xu, Jingshi
    OPEN MATHEMATICS, 2021, 19 (01): : 412 - 426
  • [3] Boundedness of some sublinear operators on Herz-Morrey spaces with variable exponent
    Wu, Jianglong
    GEORGIAN MATHEMATICAL JOURNAL, 2014, 21 (01) : 101 - 111
  • [4] Boundedness of the Bochner-Riesz Operators on the Weighted Herz-Morrey Type Hardy Spaces
    Sultan, Babar
    Sultan, Mehvish
    Hussain, Amjad
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2025, 19 (03)
  • [5] Boundedness of Riesz Potential Operator on Grand Herz-Morrey Spaces
    Sultan, Babar
    Azmi, Fatima
    Sultan, Mehvish
    Mehmood, Mazhar
    Mlaiki, Nabil
    AXIOMS, 2022, 11 (11)
  • [6] Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent
    Wang, Hongbin
    Liao, Fanghui
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2020, 41 (01) : 99 - 116
  • [7] Boundedness of the maximal and potential operators in Herz-Morrey type spaces
    Mizuta, Yoshihiro
    Ohno, Takao
    Shimomura, Tetsu
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (09) : 1575 - 1589
  • [8] Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent
    Hongbin Wang
    Fanghui Liao
    Chinese Annals of Mathematics, Series B, 2020, 41 : 99 - 116
  • [9] Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent
    Hongbin WANG
    Fanghui LIAO
    ChineseAnnalsofMathematics,SeriesB, 2020, (01) : 99 - 116
  • [10] Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces
    XIAO DAN
    SHU LI-SHENG
    Ji You-qing
    Communications in Mathematical Research, 2018, 34 (04) : 371 - 382