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| Cn中有界对称域上不同加权Dirichlet空间之间的复合算子 | |
| 引用本文： | 罗罗. Cn中有界对称域上不同加权Dirichlet空间之间的复合算子[J]. 数学季刊, 1999, 14(3) |
| 作者姓名： | 罗罗 |
| 作者单位： | Luo Luo(罗 罗) (Dept. of Math.，University of Science and Technology of China，Hefei，230026) |
| 基金项目： | 中国科学院资助项目，the National Education Committee Doctoral Foundations |
| 摘 要： | §１． ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔΩｂｅａｂｏｕｎｄｅｄｓｙｍｍｅｔｒｉｃｄｏｍａｉｎｗｉｔｈｉｔｓｓｔａｎｄａｒｄｒｅａｌｉｚａｔｉｏｎｉｎＣｎａｎｄｎｏｒｍａｌｉｚｅｄ（Ｅｕｃｌｉｄｅａｎ）ｖｏｌｕｍｅｍｅａｓｕｒｅｓｏｔｈａｔυ（Ω）＝１．ＬｅｔＫ（·，ｚ）ｄｅｎｏｔｅｔｈｅＢｅｒｇｍａｎｋｅｒｎａｌｆｕｎｃ－ｔｉｏｎａｔｚ∈Ω．ＴｈｅＢｅｒｇｍａｎｍｅｔｒｉｃｏｎΩｉｓｄｅｆｉｎｅｄｂｙＧｚ＝（ｇｉｊ（ｚ））＝１２２ｚｉｚｊｌｏｇＫ（ｚ，ｚ） １ｉ，ｊｎ．Ｉｆγ：［０，１］… |
Composition Operators Between the Weighted Dirichlet Spaces on Bounded Symmetric Domains of Cn |
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| Luo Luo. Composition Operators Between the Weighted Dirichlet Spaces on Bounded Symmetric Domains of Cn[J]. Chinese Quarterly Journal of Mathematics, 1999, 14(3) | |
| Authors: | Luo Luo |
| Abstract: | In this paper, we define the weighted Dirichlet space Dpα(Ω) on bounded symmetric domains Ω of Cn. Using η-α Carleson measure,we study the boundedness and compactmess of the composition operators between the weighted Dirichlet spaces. |
| Keywords: | Dirichlet space composition operator Carleson measure |
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