| 映入E0(p,q)的紧复合算子 |
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| 引用本文： | 刘永民. 映入E0(p,q)的紧复合算子[J]. 数学研究及应用, 2002, 22(4): 538-544 |
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| 作者姓名： | 刘永民 |
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| 作者单位： | 徐州师范大学数学系,江苏,徐州,221116 |
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| 摘 要： | 应用复合算子研究E0（p,q）空间,当p=2时,它就是Qq,0,当P>0且q>1时,它就是小 Bloch空间B0.讨论了复合算子的紧性并利用Carleson测度给出复合算子是紧的判别准则.
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| 关 键 词： | E0（p q）空间 紧性 Carleson测度 复合算子 |
| 收稿时间： | 1999-09-28 |
Compact Composition Operators Mapping into the E0(p,q) Spaces |
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| LIU Yong-min. Compact Composition Operators Mapping into the E0(p,q) Spaces[J]. Journal of Mathematical Research with Applications, 2002, 22(4): 538-544 |
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| Authors: | LIU Yong-min |
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| Affiliation: | Dept. of Math.; Xuzhou Normal University; Jiangsu; China |
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| Abstract: | Composition operators are used to study the E0(p,q) spaces, which coincide with the space Qq,0 for p = 2 and the little Bloch space B0 for p > 0 and q > 1. The compactness of these operators is also considered. The criteria for these operators to be compact are given in terms of the Carlesou measure. |
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| Keywords: | Compact operator function space composition operator Bloch space Carleson measure. |
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