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Zygmund空间上的Volterra型算子与复合算子的乘积算子

Products of Volterra Type Operator and Composition Operators on Z Space
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摘要 讨论了Zygmund空间上的Volterra型算子与复合算子的乘积算子的有界性和紧性,及小Zygmund空间Volterra型算子与复合算子的乘积算子的有界性和紧性,得到了CφI g(或I g Cφ)算子是Z空间与Z0空间上的有界算子与紧算子的充要条件. The boundedness and compactness of products of Voherra type operator and compo- sition operator on £ and £0 spaces are researched. It is obtained that some necessary and sufficient conditions are given for which C Ig ( or (gC ) is bounded or compact on £ or £0 spaces.
出处 《福建师范大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第6期10-17,共8页 Journal of Fujian Normal University:Natural Science Edition
基金 福建省省属高校专项基金资助项目(JK2012010)
关键词 Volterra型算子 复合算子 ZYGMUND空间 有界性 紧性 Volterra type operator composition operator Zygmund space boundedness compactness
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参考文献11

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