Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 553-563.

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Weighted Weak Type Estimates for Commutators of |Fractional Integrals on Spaces of Homogeneous Type

  

  1. (1. School of Mathematical Sciences, Xiamen University, Fujian Xiamen |361005|2. Department of Mathematics, Shantou University, Guangdong Shantou |515063)
  • Received:2007-11-22 Revised:2009-03-11 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    国家自然科学基金(10571122, 10771054)资助

Abstract:

A weighted weak type endpoint estimate is established for the maximal operator  associated with the commutator generated by fractional integral operator and BMO function on spaces of homogeneous type. As an application, a two-weight weak type norm inequality for the commutator is obtained.

Key words: Spaces of homogeneous type, Fractional integral, Commutator, Weighted weak type estimate

CLC Number: 

  • 42B20
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