Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 556-565.

• Articles • Previous Articles     Next Articles

Boundedness of the Homogeneous Fractional Integrals on Hardy-type Spaces

 KONG Xiang-Bo1,2, JIANG Yin-Sheng2   

  1. 1.The Middle School Attached to Xinjiang University, |Urumqi 830046|2.College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046
  • Received:2008-03-15 Revised:2009-09-24 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(10861010)资助.

Abstract:

Let Tb be commutator of the weighted BMO function $b$ and the Calderón-Zygmund singular integral operator T. In this paper, the authors study the boundedness properties of Tb on some weighted spaces: weighted Hardy space, weighted Herz spaces and weighted Herz-type Hardy spaces. In addition, the authors also obtain its corresponding endpoint estimates.

Key words: Singular integral, Commutator, Weighted Hardy space, Weighted Herz spaces, Weighted Herz-type Hardy spaces

CLC Number: 

  • 42B20
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