Boundedness of sublinear operators on two-weighted grand Herz spaces with variable exponent

被引:0
作者
Nafis, Hammad [1 ]
机构
[1] Riphah Int Univ, Dept Math & Stat, Islamabad, Pakistan
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2025年 / 2025卷 / 01期
关键词
Herz spaces; Grand spaces; Variable exponent spaces; Sublinear operators; WEIGHTED NORM INEQUALITIES; LEBESGUE SPACES; FRACTIONAL INTEGRALS; WAVELET CHARACTERIZATION; MAXIMAL OPERATOR; HARDY-SPACES; COMMUTATORS;
D O I
10.1186/s13660-025-03273-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we introduce the concept of two-weighted grand variable Herz spaces as a natural generalization of variable Herz spaces. We establish the boundedness of sublinear operators within this framework, offering significant insights into their functional behavior. Our findings, incorporating additional weight factors, broaden the scope and applicability of our results.
引用
收藏
页数:16
相关论文
共 50 条
  • [21] BOUNDEDNESS OF THE MARCINKIEWICZ INTEGRAL ON GRAND VARIABLE HERZ SPACES
    Nafis, Hammad
    Rafeiro, Humberto
    Zaighum, Muhammad Asad
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (02): : 739 - 753
  • [22] 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
  • [23] Boundedness of fractional integrals on weighted Herz spaces with variable exponent
    Mitsuo Izuki
    Takahiro Noi
    Journal of Inequalities and Applications, 2016
  • [24] 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
  • [25] Boundedness of fractional-type integral operators on global generalized Herz spaces with variable exponent
    Boulares, Hamza Brahim
    JOURNAL OF ANALYSIS, 2025,
  • [26] Boundedness of Multilinear Calderon-Zygmund Operators on Grand Variable Herz Spaces
    Nafis, Hammad
    Rafeiro, Humberto
    Zaighum, Muhammad Asad
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [27] Boundedness of Hardy-Ces ?ro operators on variable exponent Morrey-Herz spaces
    Dung, Kieu Huu
    Minh, Do Lu Cong
    Nang, Tran Thi
    FILOMAT, 2023, 37 (04) : 1001 - 1016
  • [28] On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces
    Meskhi, Alexander
    Rafeiro, Humberto
    Zaighum, Muhammad Asad
    GEORGIAN MATHEMATICAL JOURNAL, 2019, 26 (01) : 105 - 116
  • [29] Two-Weighted Inequalities for Hausdorff Operators in Herz-Type Hardy Spaces
    Chuong, N. M.
    Duong, D. V.
    Dung, K. H.
    MATHEMATICAL NOTES, 2019, 106 (1-2) : 20 - 37
  • [30] Two-weighted estimates for multilinear Hausdorff operators on the Morrey-Herz spaces
    Chuong, Nguyen Minh
    Van Duong, Dao
    Duyet, Nguyen Duc
    ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1780 - 1813