COMMUTATORS OF GENERALIZED HARDY OPERATORS ON HOMOGENEOUS GROUPS

被引：0
作者：
默会霞 [1 ]
机构：
[1] School of Science, Beijing University of Post and Telecommunications
来源：
ActaMathematicaScientia | 2010年 / 30卷 / 03期
关键词：
Homogeneous group; CMO(G) function; Herz space; generalized Hardy operator;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Let G be a homogeneous group. The author considers the boundedness of commutators generated by the generalized Hardy operators and CMO(G) functions on Herz spaces in the setting of homogeneous group. This article extends some known results.
引用
收藏
页码：897 / 906
页数：10
相关论文
共 5 条
  • [1] Characterization for commutators of n-dimensional fractional Hardy operators[J]. Zun-wei FU~(1,2) Zong-guang LIU~3 Shan-zhen LU~(1+) Hong-bin WANG~3 ~1 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China;~2 Department of Mathematics,Linyi Normal University,Linyi 276005,China;~3 Department of Mathematics,China University of Mining and Technology (Beijing),Beijing 100083,China.Science in China(Series A:Mathematics). 2007(10)
  • [2] L p and BMO Bounds of Weighted Hardy–Littlewood Averages[J] . J Xiao.Journal of Mathematical Analysis and Applications . 2001 (2)
  • [3] Two-Weighted Inequalities for Integral Operators in Lorentz Spaces Defined on Homogeneous Groups[J] . V. Kokilashvili,A. Meskhi.Georgian Mathematical Journal . 1999 (1)
  • [4] On the boundedness of classical operators on weighted lorentz spaces[J] . Y. Rakotondratsimba.Georgian Mathematical Journal . 1998 (2)
  • [5] Note on a theorem of Hilbert[J] . G. H. Hardy.Mathematische Zeitschrift . 1920 (3-4)
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