| 加权复合算子是渐近Toeplitz算子 |
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| 引用本文： | 贺长雁,胡小浇.加权复合算子是渐近Toeplitz算子[J].宝鸡文理学院学报(自然科学版),2010,30(2):11-12,20. |
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| 作者姓名： | 贺长雁 胡小浇 |
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| 作者单位： | 嘉兴学院,浙江,嘉兴,314001;路桥中学,浙江,台州,318050 |
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| 摘 要： | 目的 研究Hardy空间上加权复合算子与渐近Toeplitz算子的关系.方法 采用泛函分析和复分析进行研究.结果 主要证明Hardy空间上每一个加权复合算子都是渐近Toeplitz算子.结论 证明了Hardy空间上加权复合算子是渐近Toeplitz算子,在已有文献的相关结果上进行了推广和统一.
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| 关 键 词： | Hardy空间 加权复合算子 渐近Toeplitz算子 |
Every weighted composition operator is asymptotically Toeplitz operators |
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| HE Chang-yan,HU Xiao-jiao.Every weighted composition operator is asymptotically Toeplitz operators[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2010,30(2):11-12,20. |
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| Authors: | HE Chang-yan HU Xiao-jiao |
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| Institution: | HE Chang-yan1,HU Xiao-jiao2(1.Jiaxing University,Jiaxing 314001,Zhejiang,China,2.Luqiao Middle School,Taizhou 318050,China) |
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| Abstract: | Aim The relationship between the weighted composition operator on Hardy space and the asymptotically Toeplitz is discussed.Methods The methods of functional analysis and complex analysis are used to investigate the relationship.Results We mainly proved that every weighted composition operator on Hardy space is asymptotically Toeplitz operators.Conclusion The results that we have had is generalized and unified the related ones in the existing documents. |
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| Keywords: | Hardy space weighted composition operator asymptotically Toeplitz operator |
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