| COMPOSITION OPERATOR ON BERS-TYPE SPACES |
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| 作者姓名： | 何维湘 姜立建 |
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| 作者单位： | He Weixiang Department Of Mathemattics，Helsinki University Of Technology，FinlandJiang Lijian Institute of Mathematics，Academia Sinica，Beijing 100080，ChinaDNA Finland oy PL1319 00101 Helsinki |
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| 基金项目： | the National Natural Science Foundation of China（19971091） |
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| 摘 要： | Necessary and sufficient conditions are established for a composition operator C f = fo to be bounded or compact on the Bers-type space Ha and the little Bers-type space Ha The boundedness and compactness of the composition operator C on A() are characterized, which generalize the case of C on Ha.
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COMPOSITION OPERATOR ON BERS-TYPE SPACES |
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| He Weixiang.COMPOSITION OPERATOR ON BERS-TYPE SPACES[J].Acta Mathematica Scientia,2002,22(3). |
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| Authors: | He Weixiang |
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| Institution: | He Weixiang Department Of Mathemattics,Helsinki University Of Technology,FinlandJiang Lijian Institute of Mathematics,Academia Sinica,Beijing 100080,ChinaDNA Finland oy PL1319 00101 Helsinki |
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| Abstract: | Necessary and sufficient conditions are established for a composition operator Cf = fo to be bounded or compact on the Bers-type space Ha and the little Bers-type space Ha.The boundedness and compactness of the composition operator C on A are characterized, which generalize the case of C on Ha. |
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| Keywords: | Composition operator Bers-type space boundedness compactness |
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