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Two-weight Weak-type Norm Inequalities for the Commutators of Fractional Integrals
Authors:Email author" target="_blank">Zongguang?LiuEmail author  Shanzhen?Lu
Institution:(1) Department of Mathematics, University of Mining and Technology (Beijing), 100083 Beijing, P.R.China;(2) Department of Mathematics, Beijing Normal University, 100875 Beijing, P.R.China
Abstract:In this paper, we obtain a sufficient condition for two-weight weak type norm inequality for the commutators of fractional integral 
$$ b, I_\alpha] $$
, where 
$$ b \in BMO $$
and 
$$ 0 < \alpha < n $$
.
Keywords:Primary: 42B20  Secondary: 35J05
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