Besov空间到Zygmund空间的Volterra算子和复合算子的乘积 |
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引用本文: | 范光欢,唐笑敏.Besov空间到Zygmund空间的Volterra算子和复合算子的乘积[J].湖州师专学报,2011(1):42-47. |
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作者姓名: | 范光欢 唐笑敏 |
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作者单位: | 湖州师范学院理学院,浙江湖州313000 |
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基金项目: | 国家自然科学基金项目(10971063);浙江省自然科学基金项目(Y6100219);浙江省新苗人才计划项目(2009R425018). |
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摘 要: | 研究了在单位圆盘上Besov空间到Zygmund空间的Volterra算子和复合算子的乘积算子的有界性和紧性特征.利用泛函分析和复合分析的方法,得到了Besov空间到Zygmund空间该算子是有界算子或紧算子的充要条件.
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关 键 词: | Besov空间 Zygmund空间 乘积算子 有界性 紧性 |
Products of Volterra Operator and Composition Operator from Besov Spaces to Zygmund Spaces |
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Institution: | Fan Guang - huan, Tang Xiao - min (Faculty of Science, Huzhou Teachers College, Huzhou 313000 ,China) |
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Abstract: | In this paper,we study the boundedness and compactness of the products of Volterra operator and composition operator from Besov spaces to Zygmund spaces on the unit disk. By using the method of functional analysis and complex analysis, some necessary and sufficient conditions are given such that the products of Volterra operator and composition operator are bounded or compact. |
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Keywords: | Besov spaces Zygmund spaces product operator boundedness compactness |
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