Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (3): 776-784.

• Articles • Previous Articles     Next Articles

Coifman Type Weighted Inequalities for Commutators of Generalized Fractional Integral Operators

 YAN Xue-Fang, LI Wen-Ming   

  1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016
  • Received:2009-06-11 Revised:2010-04-25 Online:2011-06-25 Published:2011-06-25

Abstract:

Let Tα be the generalized fractional integral operator with kernel satisfying generalized  H\"{o}rmander condition. In this paper, the authors obtain the Coifman type weighted inequalities for commutators of generalized fractional integral operators and  give an
application to the fractional integral operators with homogeneous kernel.

Key words: Generalized fractional integral operator, Commutator, H\"{o}rmander condition, Weighted inequality, Maximal functions

CLC Number: 

  • 42B20
Trendmd