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A characterization of Campanato space via commutator of fractional integral
Authors:Shaoguang Shi  Shanzhen Lu
Institution:1. Department of Mathematics, Linyi University, Linyi 276005, PR China;2. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, PR China
Abstract:A new characterization of Campanato space is given. It is here shown that the boundedness of commutators formed by fractional integrals can produce a version of creative characterization of Campanato space. The corresponding boundedness for the certain commutators with rough kernels was also considered.
Keywords:Campanato space  Commutator  Fractional integral
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