Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (1): 239-249.

• Articles • Previous Articles     Next Articles

Weighted Inequalities for Commutators of |Fractional Integrals

 LI Wen-Ming1, ZHANG Ya-Jing2, MO Hui-Xia3   

  1. 1.College of Mathematics and Information Science, |Hebei Normal University, Shijiazhuang 050016;2.College of Science, Agriculture University of Hebei, Hebei Baoding 071001;3.School of Science, Beijing University of Post and Telecommunications, Beijing 100876
  • Received:2008-12-30 Revised:2009-12-22 Online:2011-02-25 Published:2011-02-25
  • Supported by:

    河北省自然科学基金(08M001)、国家自然科学基金(10771049, 10871024)和中央高校基本科研业务费专项资金(BUPT2009RC0703)资助

Abstract:

In this paper, the authors  give some strong-type and weak-type weighted inequalities for the higher order commutators
of  the fractional integral operators with BMO functions.

Key words: Fractional integral, Commutator, Weighted inequality, Young functions

CLC Number: 

  • 42B20
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