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齐型空间上的分数次积分交换子的加权弱型估计 被引量:2

Weighted Weak Type Estimates for Commutators of Fractional Integrals on Spaces of Homogeneous Type
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摘要 在齐型空间上,建立了关于分数次积分算子与BMO函数生成的交换子的加权弱型端点估计,并运用此估计式得到交换子的一个双权弱型估计。 A weighted weak type endpoint estimate is established for the maximal operator associated with the commutator generated by fractional integral operator and BMO function on spaces of homogeneous type. As an application, a two-weight weak type norm inequality for the commutator is obtained.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2009年第3期553-563,共11页 Acta Mathematica Scientia
基金 国家自然科学基金(10571122,10771054)资助
关键词 齐型空间 分数次积分 交换子 加权弱型估计 Spaces of homogeneous type Fractional integral Commutator Weighted weak type estimate.
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参考文献8

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  • 2Bernardis A, Hartzstein S, Pradolini G. Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type. J Math Anal Appl, 2006, 322:825-846.
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