| 椭球的Orlicz投影体 |
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| 引用本文： | 王健.椭球的Orlicz投影体[J].数学杂志,2014,34(1):79-84. |
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| 作者姓名： | 王健 |
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| 作者单位： | 上海大学理学院数学系 |
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| 基金项目： | Supported by National Natural Science Foundation of China(11001163);Innovation Program of Shanghai Municipal Education Commission(11YZ11);Shanghai Leading Academic Discipline Project(J50101) |
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| 摘 要： | 本文研究了文献1]所引入的Orlicz投影体问题.利用Orlicz投影体在线性变换下的不变性,获得了椭球的Orlicz投影体仍是椭球的结果.作为例子,计算了当取两个特定的凸函数时单位球的Orlicz投影体的支持函数.
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| 关 键 词： | 凸体 支持函数 投影体 Orlicz投影体 |
| 收稿时间： | 2012/3/5 0:00:00 |
| 修稿时间： | 2012/6/20 0:00:00 |
ORLICZ PROJECTION BODIES OF ELLIPSOIDS |
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| WANG Jian.ORLICZ PROJECTION BODIES OF ELLIPSOIDS[J].Journal of Mathematics,2014,34(1):79-84. |
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| Authors: | WANG Jian |
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| Institution: | WANG Jian;Department of Mathematics,School of Science,Shanghai University; |
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| Abstract: | In this paper, we study the problem of the Orlicz projection bodies recently introduced by Lutwak, Yang and Zhang. By using the linear invariant property of Orlicz projection bodies, we obtain the result that the Orlicz projection bodies of ellipsoids are still ellipsoids. As examples, we compute two concrete support functions of Orlicz projection bodies of the unit ball for two specific convex functions. |
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| Keywords: | convex body support function projection bodies Orlicz projection bodies |
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