| 单位球上的全纯函数及其导数的加权积分 |
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| 引用本文： | 胡蓉.单位球上的全纯函数及其导数的加权积分[J].四川教育学院学报,2013,29(3):119-122. |
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| 作者姓名： | 胡蓉 |
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| 作者单位： | 四川文理学院数学与财经系,四川达州,635000 |
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| 摘 要： | 首先给出全纯函数在单位球面上的积分平均的定义,然后利用全纯函数积分平均与其梯度积分平均之间的相互控制关系,得到全纯函数在普通权下的加权积分与其导数的加权积分两者之间的等价关系。
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| 关 键 词： | 单位球 全纯函数 导数 加权积分 |
Weighted Integrals of Holomorphic Function and Its Derivative in the Unit Ball |
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| HU Rong.Weighted Integrals of Holomorphic Function and Its Derivative in the Unit Ball[J].Journal of Sichuan College of Education,2013,29(3):119-122. |
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| Authors: | HU Rong |
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| Institution: | HU Rong ( Department of Mathematics and Finance - Economics, Sichuan University of Arts and Science, Dazhou Sichuan 635000, China) |
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| Abstract: | This paper first gives the definition of the integral means, then by using the relations between the integral means of holomorphic function and the integral means of its gradient, it gets the equivalence for weighted integrals under normal weight function of holomorphic function and its derivative in the unit ball. |
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| Keywords: | the unit bail holomorphic function derivative weighted integrals |
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