GENERALIZED HAUSDORFF OPERATORS ON WEIGHTED HERZ SPACES

被引：0
|
作者：
Kuang Jichang [1 ]
机构：
[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
来源：
MATEMATICKI VESNIK | 2014年 / 66卷 / 01期
关键词：
Hausdorff operator; weighted Herz space; norm inequality;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce new generalized Hausdorff operators. They include many famous operators as special cases. We obtain necessary and sufficient conditions for these operators to be bounded on the weighted Herz spaces. The corresponding new operator norm inequalities are obtained. They are significant improvements and generalizations of many known results. Several open problems are formulated.
引用
收藏
页码：19 / 32
页数：14
相关论文
共 50 条
  • [1] Multilinear Hausdorff operators on weighted Herz and Morrey–Herz spaces with variable exponent
    Dongli Liu
    Jiman Zhao
    Journal of Pseudo-Differential Operators and Applications, 2022, 13
  • [2] HAUSDORFF OPERATORS ON THE WEIGHTED HERZ-TYPE HARDY SPACES
    Ruan, Jianmiao
    Fan, Dashan
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (02): : 565 - 587
  • [3] GENERALIZED HAUSDORFF OPERATORS BETWEEN WEIGHTED SPACES
    Kamalakkannan, Kalaivani
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (05) : 1683 - 1692
  • [4] Multilinear Hausdorff operators on weighted Herz and Morrey-Herz spaces with variable exponent
    Liu, Dongli
    Zhao, Jiman
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2022, 13 (01)
  • [5] Characterization of the generalized Hausdorff and quasi Hausdorff operators on weighted integrable spaces
    Kamalakkannan, Kalaivani
    RESEARCH IN MATHEMATICS, 2024, 11 (01):
  • [6] Two-weighted estimates for multilinear Hausdorff operators on the Morrey–Herz spaces
    Nguyen Minh Chuong
    Dao Van Duong
    Nguyen Duc Duyet
    Advances in Operator Theory, 2020, 5 : 1780 - 1813
  • [7] GENERALIZED HILBERT OPERATORS ON WEIGHTED MORREY-HERZ SPACES
    Kuang Jichang
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (01): : 69 - 77
  • [8] Weighted Inequalities for Commutators of p-Adic Hausdorff Operators on Herz Spaces
    Tran Luu Cuong
    Kieu Huu Dung
    Pham Thi Kim Thuy
    P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2022, 14 (03) : 224 - 237
  • [9] 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
  • [10] 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
12345