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Weak estimates for commutators of fractional integral operators
Authors:DING Yong  Lu Shanzhen  ZHANG Pu
Affiliation:Department of Mathematics,Beijing Normal University,
Abstract:By introducing a kind of maximal operator of the fractional order associated with the mean Luxemburg norm and using the technique of the sharp function, the weak type LlogL estimates for the commutators of the fractional integral operator and the related maximal operator are established.
Keywords:Fractional integral  Commutator  Sharp function  Young function  Luxemburg norm
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