Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (3): 494-509.

• Articles • Previous Articles     Next Articles

On the Commutators of Multilinear Fractional Integrals with Weighted Lipschitz Functions

 LIAN Jia-Li1, MA Bo-Lin2, WU Huo-Xiong3   

  1. 1.Department of Information and Computational Sciences, |Xiamen University Tan Kah Kee College, Fujian Zhangzhou 363105;
    2.College of Mathematics and Information Engineering, Jiaxing University, Zhejiang Jiaxing 314001;
    3.School of Mathematical Sciences, Xiamen University, Fujian Xiamen 361005
  • Received:2011-09-16 Revised:2013-01-25 Online:2013-06-25 Published:2013-06-25
  • Supported by:

    国家自然科学基金(G11071200)、福建省自然科学基金(2010J01013)、湖南省自然科学基金(09JJ5002)和浙江省自然科学基金(Y6100810)资助

Abstract:

In this paper, two types of commutators generated by the multilinear fractional integrals with the weighted Lipschitz functions are studied in products of weighted Lebesgue spaces. The strong type weighted norm estimates,  which extend and generalize some previous results, are obtained for such operators.

Key words: Multilinear fractional integrals, Commutators, Weights, Weighted Lipschitz functions, Maximal functions

CLC Number: 

  • 42B20
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