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带有齐性核的分数次积分算子在Hardy型空间上的有界性 被引量:5

Boundedness of the Homogeneous Fractional Integrals on Hardy-type Spaces
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摘要 该文研究了带有齐性核的分数次积分算子T_(Ω,α)在一些Hardy空间上的映射性质,其中核Ω在球面S^(n-1)上满足一些L^S-Dini条件.作者将前人的一些结果改进到0<α<n情形,同时还得到了算子T_(Ω,α)在Herz型Hardy空间上的一个端点估计. Let Tb be commutator of the weighted BMO function b and the Calderon-Zygmund singular integral operator T.In this paper,the authors study the boundedness properties of T_b on some weighted spaces:weighted Hardy space,weighted Herz spaces and weighted Herz-type Hardy spaces.In addition,the authors also obtain its corresponding endpoint estimates.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2010年第2期556-565,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(10861010)资助
关键词 分数次积分 Hardy空间 弱HARDY空间 Herz空间 HERZ型HARDY空间 Singular integral Commutator Weighted Hardy space Weighted Herz spaces Weighted Herz-type Hardy spaces
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同被引文献16

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  • 2张璞,陈杰诚.一类带有变量核的积分算子在Herz型Hardy空间的有界性[J].数学年刊(A辑),2004,20(5):561-570. 被引量:12
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