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广义分数次积分算子交换子的Coifman型加权不等式

Coifman Type Weighted Inequalities for Commutators of Generalized Fractional Integral Operators
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摘要 设T_α是由满足广义Hrmander条件的核函数确定的广义分数次积分算子,该文得到了广义分数次积分算子交换子的Coifman型加权不等式,并将结果应用于一类粗糙核分数次积分算子交换子. Let Tα be the generalized fractional integral operator with kernel satisfying generalized Hormander condition. In this paper, the authors obtain the Coifman type weighted inequalities for commutators of generalized fractional integral operators and give an application to the fractional integral operators with homogeneous kernel.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2011年第3期776-784,共9页 Acta Mathematica Scientia
基金 河北省自然科学基金(08M001) 河北师范大学科研基金(L2007Q06)资助
关键词 广义分数次积分算子 交换子 Hrmander条件 加权不等式 极大函数 Generalized fractional integral operator Commutator Hormander condition Weighted inequality Maximal functions.
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参考文献10

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