| 解析Sobolev型空间上的算子与算子代数 |
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| 引用本文： | 曹广福,王晓峰,何莉.解析Sobolev型空间上的算子与算子代数[J].数学学报,2017,60(1):69-80. |
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| 作者姓名： | 曹广福 王晓峰 何莉 |
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| 作者单位： | 1. 华南农业大学数学与信息学院 广州 510642;
2. 广州大学数学与信息科学学院 广州 510006 |
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| 基金项目： | 国家自然科学基金资助项目（11271092，11471084，11501136） |
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| 摘 要： | 介绍Hardy-Sobolev空间和Fock空间及其算子与算子代数研究方面所做的工作,包括对这两类空间上几类特殊算子有界性、紧性、Fredholm性、指标理论、谱和本性谱、范数和本性范数、Schatten-p类的讨论,以及由它们所生成的C~*-代数的研究.
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| 关 键 词： | Hardy-Sobolev空间 Fock空间 乘子 复合算子 |
Operators and Operator Algebras on Analytic Sobolev-Type Spaces |
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| Guang Fu CAO,Xiao Feng,WANG Li HE.Operators and Operator Algebras on Analytic Sobolev-Type Spaces[J].Acta Mathematica Sinica,2017,60(1):69-80. |
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| Authors: | Guang Fu CAO Xiao Feng WANG Li HE |
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| Institution: | 1. Department of Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China;
2. Department of Mathematics, Guangzhou University, Guangzhou 510006, P. R. China |
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| Abstract: | We introduce some work on Hardy-Sobolev spaces and Fock spaces and their operators and operator algebras, including discussing the boundedness, compactness, Fredholmness, index theory, spectrum and essential spectrum, norm and essential norm and Schatten-p class of some special kinds of operators on these two types of space, and studying the corresponding C*-algebra generated by them. |
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| Keywords: | Hardy-Sobolev space Fock space multiplier composition operator |
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