| COMPOSITION OPERATORS ON HARDY-ORLICZ SPACES |
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| 作者姓名： | 刘立芳 曹广福 王晓峰 |
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| 作者单位： | [1]DepartmentofMathematics,XiamenUniversity,Xiamen361000,China [2]DepartmentofMathematics,GuangzhouUniversity,Guangzhou510405,China [3]DepartmentofMathematics,ZhongshanUniversity,Guangzhou510000,China |
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| 摘 要： | Properties of composition operators induced by analytic self-maps on the unit disk of the complex plane in Hardy-Orlicz spaces are discussed. Results are concerned about boundedness, invertibility, compactness, Fredholm operators and spectra of composition operators.
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| 关 键 词： | 分析函数 复合算子 HARDY-ORLICZ空间 自映射 不动点 |
| 收稿时间： | 15 July 2002 |
COMPOSITION OPERATORS ON HARDY-ORLICZ SPACES |
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| Liu Lifang,Cao Guangfu,Wang Xiaofeng.COMPOSITION OPERATORS ON HARDY-ORLICZ SPACES[J].Acta Mathematica Scientia,2005,25(1):105-111. |
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| Authors: | Liu Lifang Cao Guangfu Wang Xiaofeng |
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| Institution: | 1. Key Laboratory of Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;2. School of Mathematics, Sichuan University, Chengdu, 610064, China;1. Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA;2. Peterhouse, Trumpington Street, University of Cambridge, CB2 1RD, UK;1. Departamento de Matemática Aplicada II and IMUS, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, Camino de los Descubrimientos, s/n 41092, Sevilla, Spain;2. Departamento de Análisis Matemático and IMUS, Facultad de Matemáticas, Universidad de Sevilla, Calle Tarfia, s/n 41012, Sevilla, Spain |
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| Abstract: | Properties of composition operators induced by analytic self-maps on the unit disk of the complex plane in Hardy-Orlicz spaces are discussed. Results are concerned about boundedness, invertibility, compactness, Fredholm operators and spectra of composition operators. |
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| Keywords: | Analytic function compact operator composition operator fixed point Fredholm operator Hardy-Orlicz space |
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