| Composition operators between p-Bloch space and q-Bloch space in the unit ball |
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| 作者姓名： | ZHOU Zehua and ZENG Honggang |
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| 作者单位： | 1. Department of Mathematics，Tianjin University，Tianjin 300072，China; 2. Liu Hui Center for Applied Mathematics，Nankai Uni-versity and Tianjin University，Tianjin 300072，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grand No. 10001030), and LiuHui Center for Applied Mathematics, Nankai University and Tianjin University |
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| 摘 要： | Let B_n be the unit ball of C~n and φ= (φ_1,…,φ_n) a holomorphic self-map of B_n. The main purpose of this paper is todiscuss the boundedness and compactness of composition operator C_φ between p-Bloch space β~p(B_n) and q-Bloch space β~p(B_n), where p≥0 and q≥0.
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Composition operators between p-Bloch space and q-Bloch space in the unit ball |
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| ZHOU Zehua and ZENG Honggang.Composition operators between p-Bloch space and q-Bloch space in the unit ball[J].Progress in Natural Science,2003,13(3). |
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| Authors: | Zhou Zehua ZENG Honggang |
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| Abstract: | Let Bn be the unit ball of C n and φ = ( φ1, …, φn) a holomorphic self-map of Bn. The main purpose of this paper is to discuss the boundedness and compactness of composition operator Cφ between p-Bloch space βp(Bn) and q-Bloch space βq(Bn), where p ≥0 and q≥0. |
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| Keywords: | p-Bloch space automorphlsms composition operator |
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