| ON DIRICHLET TYPE SPACES AND α-BLOCH SPACES IN THE UNIT BALL OF C^n |
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| 引用本文： | 李波,欧阳才衡.ON DIRICHLET TYPE SPACES AND α-BLOCH SPACES IN THE UNIT BALL OF C^n[J].数学物理学报(B辑英文版),2004,24(4):645-654. |
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| 作者姓名： | 李波 欧阳才衡 |
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| 作者单位： | Wuhan Institute of Physics and Mathematics，Chinese Academy of Sciences，Wuhan 430071，China，Wuhan Institute of Physics and Mathematics，Chinese Academy of Sciences，Wuhan 430071，China |
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| 基金项目： | The research is supported by NNSF of China (10271117) |
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| 摘 要： | In this paper, the authors study the inclusion relations between Dirichlet type spaces DΥ and α-Bloch spaces βα by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods. Furthermore, they sharpen one of the results when Υ-n, which proves that a conjecture in 7] is true.
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| 关 键 词： | Dirichlet空间 希尔伯特空间 顶集值 乘子 复变量 |
| 收稿时间： | 25 December 2002 |
ON DIRICHLET TYPE SPACES AND α-BLOCH SPACES IN THE UNIT BALL OF Cn |
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| Li Bo Ouyang Caiheng
Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan ,China.ON DIRICHLET TYPE SPACES AND α-BLOCH SPACES IN THE UNIT BALL OF Cn[J].Acta Mathematica Scientia,2004,24(4):645-654. |
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| Authors: | Li Bo Ouyang Caiheng
Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan China |
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| Institution: | Li Bo Ouyang Caiheng
Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan 430071,China |
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| Abstract: | In this paper, the authors study the inclusion relations between Dirichlet type spaces Dτ and α-Bloch spaces βα by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods. Furthermore, they sharpen one of the results when τ = n, which proves that a conjecture in 7] is true. |
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| Keywords: | Dirichlet type spaces α-Bloch spaces inclusion relations 32A37 32A18 |
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