| 单位球面上的全纯函数及其梯度 |
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| 引用本文： | 胡蓉. 单位球面上的全纯函数及其梯度[J]. 达县师范高等专科学校学报, 2011, 0(5): 12-14 |
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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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| 基金项目： | 四川文理学院2010年院级科研项目（2010802Z） |
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| 摘 要： | 通过给出单位球面上全纯函数的积分平均的定义，利用全纯函数与其梯度的关系，得到了函数积分平均对其梯度积分平均的控制；并通过调整积分平均的半径，得到了梯度积分平均对函数积分平均差的控制．
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| 关 键 词： | 单位球面 全纯函数 梯度 积分平均 |
The Integral Means between Its Gradient on the Holomorphic Function and Unit Ball Surface |
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| HU Rong. The Integral Means between Its Gradient on the Holomorphic Function and Unit Ball Surface[J]. Journal of Daxian Teachers College, 2011, 0(5): 12-14 |
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| Authors: | HU Rong |
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| Affiliation: | HU Rong ( Mathematics and Finance - Economies Department of Siehuan University of Arts and Science, Dazhou Sichuan 635000, China) |
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| Abstract: | In this paper, the author gives the definition of the integral means firstly, then by using the relations between holomorphic function and its gradient, proves that the integral means of the gradient of the holomorphic function can be controlled by the integral means of holomorphic function; And with the help of the radius of integral means, the author gets the other direction domination of the difference of the integral means by the gradient integral means. |
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| Keywords: | the unit ball surface holomorphic function gradient integral means |
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