WEAK BOUNDEDNESS FOR THE COMMUTATOR OF n- DIMENSIONAL ROUGH HARDY OPERATOR ON HOMOGENEOUS HERZ SPACES AND CENTRAL MORREY SPACES

被引:0
作者
Ji, Lei [1 ]
Wei, Mingquan [2 ]
Yan, Dunyan [3 ]
机构
[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
[3] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
关键词
n- dimensional rough Hardy operator; weak central BMO space; commutator; homogeneous weak Herz space; weak central Morrey space; CLASSICAL OPERATORS; RECENT PROGRESS; REAL ANALYSIS; INEQUALITIES; LEBESGUE;
D O I
10.4134/BKMS.b230608
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the boundedness of the commutator H b ohm formed by the rough Hardy operator H ohm and a locally integrable function b from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness of H b ohm on central Morrey spaces is also established.
引用
收藏
页码:1053 / 1066
页数:14
相关论文
共 39 条
  • [1] ALVAREZ JOSEFINA, 2000, Collectanea Mathematica, V51, P1
  • [2] WEIGHTED WEAK TYPE HARDY INEQUALITIES WITH APPLICATIONS TO HILBERT-TRANSFORMS AND MAXIMAL FUNCTIONS
    ANDERSEN, KF
    MUCKENHOUPT, B
    [J]. STUDIA MATHEMATICA, 1982, 72 (01) : 9 - 26
  • [3] Burenkov VI, 2013, EURASIAN MATH J, V4, P21
  • [4] Burenkov VI, 2012, EURASIAN MATH J, V3, P11
  • [5] BEST CONSTANTS FOR 2 NONCONVOLUTION INEQUALITIES
    CHRIST, M
    GRAFAKOS, L
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (06) : 1687 - 1693
  • [6] WEAK LEBESGUE SPACES AND QUANTUM-MECHANICAL BINDING
    FARIS, WG
    [J]. DUKE MATHEMATICAL JOURNAL, 1976, 43 (02) : 365 - 373
  • [7] CHARACTERIZATIONS OF BOUNDED MEAN OSCILLATION
    FEFFERMAN, C
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 77 (04) : 587 - +
  • [8] Weighted multilinear Hardy operators and commutators
    Fu, Zun Wei
    Gong, Shu Li
    Lu, Shan Zhen
    Yuan, Wen
    [J]. FORUM MATHEMATICUM, 2015, 27 (05) : 2825 - 2851
  • [9] Cauchy-Szego commutators on weighted Morrey spaces
    Fu, Zunwei
    Gong, Ruming
    Pozzi, Elodie
    Wu, Qingyan
    [J]. MATHEMATISCHE NACHRICHTEN, 2023, 296 (05) : 1859 - 1885
  • [10] Fu ZW, 2007, PROG NAT SCI-MATER, V17, P20