A characterization of Campanato space via commutator of fractional integral

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• 作者：Shaoguang Shi^a ; ^{shishaoguang@mail.bnu.edu.cn" class="auth_mail} ; Shanzhen Lu^b ; ^{lusz@bnu.edu.cn" class="auth_mail}
• 关键词：Campanato space ; Commutator ; Fractional integral
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：1 November 2014
• 年：2014
• 卷：419
• 期：1
• 页码：123-137
• 全文大小：331 K

文摘

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.