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WEIGHTED BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL HARDY OPERATORS WITH BESOV-LIPSCHITZ FUNCTIONS
Authors:Shimo Wang & Dunyan Yan
Affiliation:Shimo Wang(Graduate University of Chinese Academy of Sciences,Heilongjiang University,China)Dunyan Yan(Graduate University of Chinese Academy of Sciences,China)
Abstract:In this paper,we establish two weighted integral inequalities for commutators of fractional Hardy operators with Besov-Lipschitz functions.The main result is that this kind of commutator,denoted by Hb α,is bounded from L x γp (R +) to Lx δ q (R +) with the bound explicitly worked out.
Keywords:fractional Hardy operator  commutator  Besov-Lipschitz function
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