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Boundedness for commutators of fractional Hardy operators on Herz spaces
作者姓名:FU Zunwei  LIU Zongguang  LU Shanzhen
作者单位: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 100083, China
基金项目:Supported by National Natural Science Foundation of China(Grant No.10571014 10371080),the SEDF of China(Grant No.20040027001)
摘    要:Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.

关 键 词:fractional  Hardy  operator    Hardy’s  integral  inequality    commutator    one-sided  CMO  function    homogeneous  Herz  space.

Boundedness for commutators of fractional Hardy operators on Herz spaces
Authors:FU Zunwei  LIU Zongguang  LU Shanzhen
Institution: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 100083, China
Abstract:Some boundedness results are established for commutators generated by classical fractional Hardy operators and one-sided CMO functions on the homogeneous Herz spaces, which extends some known results.
Keywords:fractional Hardy operator  Hardy's integral inequality  commutator  one-sided CMO function  homogeneous Herz space  
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