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从H^p到Bloch型空间上的Volterra型算子

On the Volterra Type Operators from Hardy Space to the Bloch Space
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摘要 讨论了单位圆上从Hp空间到Bα空间和B0α空间的Volterra型算子Vg,Ug的有界性和紧性充要条件.作为应用,给出了从Hp空间到Bα空间点乘算子Mg的有界性和紧性的充要条件. The Volterra type operators Vg,Ug are characterized from Hardy space to theα-Bloch space in the unit disk. The necessary and sufficient conditions are given for which Vg,Ug are bounded or compact operators from H^p space into B^α space and B0^α space.As application, the necessary and sufficient conditions which multiplier Mg is a bounded or a compact operator are given.
出处 《福建师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第6期24-28,共5页 Journal of Fujian Normal University:Natural Science Edition
基金 福建省自然科学基金资助项目(2009J01004)
关键词 Volterra型算子 点乘算子 有界性 紧性 Volterra type operator multiplier operator boundness compactness
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参考文献9

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