Continuity of Hardy type operators on rectangularly defined spaces

被引:1
|
作者
Espinoza-Villalva, Carolina [1 ]
Guzman-Partida, Martha [1 ]
机构
[1] Univ Sonora, Dept Matemat, Hermosillo 83000, Sonora, Mexico
关键词
Herz spaces; n-dimensional Hardy operator; Hausdorff operator;
D O I
10.1016/j.jmaa.2015.11.047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a generalization of rectangular Herz spaces defined in [3] and prove boundedness of a version of the n-dimensional Hardy operator on them. We also study the action of the Hausdorff operator on some subspaces of BMO. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:29 / 38
页数:10
相关论文
共 50 条
  • [1] Hardy-Type Operators in Lorentz-Type Spaces Defined on Measure Spaces
    Qinxiu Sun
    Xiao Yu
    Hongliang Li
    [J]. Indian Journal of Pure and Applied Mathematics, 2020, 51 : 1105 - 1132
  • [2] HARDY-TYPE OPERATORS IN LORENTZ-TYPE SPACES DEFINED ON MEASURE SPACES
    Sun, Qinxiu
    Yu, Xiao
    Li, Hongliang
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2020, 51 (03): : 1105 - 1132
  • [3] RKH spaces of Brownian type defined by Cesaro-Hardy operators
    Gale, Jose E.
    Miana, Pedro J.
    Sanchez-Lajusticia, Luis
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (03)
  • [4] RKH spaces of Brownian type defined by Cesàro–Hardy operators
    José E. Galé
    Pedro J. Miana
    Luis Sánchez–Lajusticia
    [J]. Analysis and Mathematical Physics, 2021, 11
  • [5] Continuity properties for commutators of multilinear type operators on product of certain Hardy spaces
    Li, Wenjuan
    Xue, Qingying
    [J]. FRONTIERS OF MATHEMATICS IN CHINA, 2014, 9 (06) : 1325 - 1347
  • [6] On the Continuity of Strongly Singular Calderon-Zygmund-Type Operators on Hardy Spaces
    Picon, Tiago
    Vasconcelos, Claudio
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2023, 95 (02)
  • [7] THE CONTINUITY OF SOME OPERATORS ON HERZ-TYPE HARDY SPACES ON THE HEISENBERG GROUP
    Liu, Mingju
    Lu, Shanzhen
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (01): : 151 - 164
  • [8] Continuity properties for commutators of multilinear type operators on product of certain Hardy spaces
    Wenjuan Li
    Qingying Xue
    [J]. Frontiers of Mathematics in China, 2014, 9 : 1325 - 1347
  • [9] On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces
    G. Hoepfner
    R. Kapp
    T. Picon
    [J]. Potential Analysis, 2021, 55 : 491 - 512
  • [10] On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces
    Hoepfner, G.
    Kapp, R.
    Picon, T.
    [J]. POTENTIAL ANALYSIS, 2021, 55 (03) : 491 - 512