| Fredholm Composition Operators on Riemann Surfaces |
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| 引用本文： | Guang Fu CAO. Fredholm Composition Operators on Riemann Surfaces[J]. 数学学报(英文版), 2005, 21(4): 869-872. DOI: 10.1007/s10114-004-0430-3 |
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| 作者姓名： | Guang Fu CAO |
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| 作者单位： | Department of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China |
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| 基金项目： | Supported by National Natural Science Foundation of China. |
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| 摘 要： |
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| 关 键 词： | Riemann表面 合成算子 Predholm算子 可逆性 |
| 收稿时间： | 2002-05-14 |
| 修稿时间： | 2002-05-142003-04-01 |
Fredholm Composition Operators on Riemann Surfaces |
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| Guang Fu Cao. Fredholm Composition Operators on Riemann Surfaces[J]. Acta Mathematica Sinica(English Series), 2005, 21(4): 869-872. DOI: 10.1007/s10114-004-0430-3 |
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| Authors: | Guang Fu Cao |
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| Affiliation: | (1) Department of Mathematics, Guangzhou University, Guangzhou 510405, P. R. China |
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| Abstract: | It is proved that the invertibility of a composition operator on the differential form space for a Riemann surface is equivalent to its Fredholmness. In addition, the Fredholmness of weighted composition operators is discussed. |
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| Keywords: | Riemann surface Composition operator Fredholm operator |
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