Hausdorff Operator on Morrey Spaces and Campanato Spaces

被引：0
|
作者：
Jianmiao Ruan
Dashan Fan
Hongliang Li
机构：
[1] Zhejiang International Studies University,Department of Mathematics
[2] University of Wisconsin-Milwaukee,Department of Mathematical Sciences
来源：
Czechoslovak Mathematical Journal | 2020年 / 70卷
关键词：
Hausdorff operator; Morrey space; Campanato space; 42B35; 42B30; 46E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the high-dimensional Hausdorff operators on the Morrey space and on the Campanato space. We establish their sharp boundedness on these spaces. Particularly, our results solve an open question posted by E. Liflyand (2013).
引用
收藏
页码：505 / 517
页数：12
相关论文
共 50 条
  • [31] The Hausdorff Operator on Weighted p-Adic Morrey and Herz Type Spaces
    Amjad Hussain
    Naqash Sarfraz
    p-Adic Numbers, Ultrametric Analysis and Applications, 2019, 11 : 151 - 162
  • [32] On the Commutators of Marcinkiewicz Integral with a Function in Generalized Campanato Spaces on Generalized Morrey Spaces
    Ku, Fuli
    Wu, Huoxiong
    MATHEMATICS, 2022, 10 (11)
  • [33] POINTWISE MULTIPLIERS FOR LOCALIZED MORREY-CAMPANATO SPACES ON RD-SPACES
    林海波
    杨大春
    ActaMathematicaScientia, 2014, 34 (06) : 1677 - 1694
  • [34] New function spaces of Morrey-Campanato type on spaces of homogeneous type
    Tang, Lin
    ILLINOIS JOURNAL OF MATHEMATICS, 2007, 51 (02) : 625 - 644
  • [35] On the convolution operator in Morrey spaces
    Nursultanov, Erlan D.
    Suragan, Durvudkhan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 515 (01)
  • [36] Interpolation of Morrey-Campanato and related smoothness spaces
    Wen Yuan
    Winfried Sickel
    DaChun Yang
    Science China Mathematics, 2015, 58 : 1835 - 1908
  • [37] Preduals of variable Morrey–Campanato spaces and boundedness of operators
    Ciqiang Zhuo
    Annals of Functional Analysis, 2023, 14
  • [38] Interpolation of Morrey-Campanato and related smoothness spaces
    YUAN Wen
    SICKEL Winfried
    YANG DaChun
    ScienceChina(Mathematics), 2015, 58 (09) : 1835 - 1908
  • [39] Campanato-Morrey spaces and variable Riesz potentials
    Ohno, T.
    Shimomura, T.
    ACTA MATHEMATICA HUNGARICA, 2024, 174 (01) : 62 - 74
  • [40] LOCALIZED MORREY-CAMPANATO SPACES ON METRIC MEASURE SPACES AND APPLICATIONS TO SCHRODINGER OPERATORS
    Yang, Dachun
    Yang, Dongyong
    Zhou, Yuan
    NAGOYA MATHEMATICAL JOURNAL, 2010, 198 : 77 - 119
12345