| 全纯函数的加权积分 |
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| 作者姓名： | Hu Zhangjian Liu Taishun Dept. of Math. Univ. of Sci. and Tech. of China Hefei China. Dept. of Math. Huzhou Teachers College Huzhou China. |
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| 作者单位： | Hu Zhangjian 1,2 Liu Taishun 11 Dept. of Math.,Univ. of Sci. and Tech. of China,Hefei 230026,China. 2 Dept. of Math.,Huzhou Teachers College,Huzhou 313000,China. |
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| 基金项目： | the1 5 1 Projection and the Natural Science Foundation of Zhejiang Province( M1 0 31 0 4 ) |
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| 摘 要： | § 1 IntroductionLet D be the unit disc in the complex plane C,dm be the Lebesgue area measure onD.We denote H (D) the setof all holomorphic functions on D.For 0
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| 关 键 词： | 加权积分 对当函数 加权空间 巴拿赫空间 勒贝格测度 |
| 收稿时间： | 2 July 2004 |
Weighted integrals of holomorphic functions |
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| Hu Zhangjian , Liu Taishun Dept. of Math.,Univ. of Sci. and Tech. of China,Hefei ,China. Dept. of Math.,Huzhou Teachers College,Huzhou ,China..Weighted integrals of holomorphic functions[J].Applied Mathematics A Journal of Chinese Universities,2004,19(4):474-480. |
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| Authors: | Hu Zhangjian Liu Taishun |
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| Institution: | Dept.of Math., Univ.of Sci.and Tech.of China, Hefei 230026, China;Dept.of Math., Huzhou Teachers College, Huzhou 313000, China;Dept.of Math., Huzhou Teachers College, Huzhou 313000, China |
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| Abstract: | Given an admissible weight w and 0<p<∞, the estimate {
} is valid for all holomorphic functions f in the unit disc D. Here, {
} is the distortion of w. As an application of the above estimate, it is proved that the Cesàro operator C•] is bounded on the weighted Bergman spaces L
a,w
p
(D).
Partially supported by the 151 Projection and the Natural Science Foundation of Zhejiang Province (M103104). |
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| Keywords: | 30E99 47B38 |
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