Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (3): 897-906.doi: 10.1016/S0252-9602(10)60087-2

• Articles • Previous Articles     Next Articles

COMMUTATORS OF GENERALIZED HARDY OPERATORS ON HOMOGENEOUS GROUPS

 MO Hui-Xia   

  1. School of Science, Beijing University of Post and Telecommunications, Beijing 100876, China
  • Received:2007-09-22 Revised:2008-05-26 Online:2010-05-20 Published:2010-05-20
  • Supported by:

    Supported by Chinese Universities Scientific Fund (2009RC0703 of BUPT) and the NNSF of China (10871024)

Abstract:

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.

Key words: Homogeneous group,  CMO(G) function, Herz space,  generalized Hardy operator

CLC Number: 

  • 42B20
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