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多线性分数次积分算子交换子的有界性(英文) 被引量:2

Boundedness for Commutators of Multilinear Fractional Integral Operators
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摘要 本文利用sharp极大函数的估计,证明了一类由多线性分数次积分算子和BMO(R^n)函数生成的交换子的L^p(R^n)有界性. By some estimates for the sharp maximal functions, the LP(R^n)-boundedness for a class of commutators for multilinear fractional integral operators with BMO(R^n) functions are obtained.
出处 《数学进展》 CSCD 北大核心 2009年第3期367-374,共8页 Advances in Mathematics(China)
基金 Supported by the NSFC(No.G10571122)
关键词 多线性算子 分数次积分 交换子 sharp极大函数 分数次极大算子 BMO(R^N) multilinear operator fractional integral commutator sharp maximal function fractional maximal operator BMO(R^n)
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