| Orlicz混合相交体 |
| |
| 引用本文： | 郭媛媛,马统一,高丽.Orlicz混合相交体[J].数学杂志,2017,37(3):567-579. |
| |
| 作者姓名： | 郭媛媛 马统一 高丽 |
| |
| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070,河西学院数学与统计学院, 甘肃 张掖 734000,西北师范大学数学与统计学院, 甘肃 兰州 730070 |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China (11561020); the Science and Technology Plan of the Gansu Province (145RJZG227). |
| |
| 摘 要： | 本文研究了Orlicz混合相交体及其性质.利用几何分析方法提出了Orlicz混合相交体的概念，获得了Orlicz混合相交体算子的连续性和仿射不变性.通过积分方法和Steiner对称，建立了Orlicz混合相交体的仿射等周不等式.
|
| 关 键 词： | 凸体 Orlicz混合相交体 Steiner对称 仿射等周不等式 |
| 收稿时间： | 2016/4/2 0:00:00 |
| 修稿时间： | 2016/5/12 0:00:00 |
ORLICZ MIXED INTERSECTION BODIES |
| |
| GUO Yuan-yuan,MA Tong-yi and GAO Li.ORLICZ MIXED INTERSECTION BODIES[J].Journal of Mathematics,2017,37(3):567-579. |
| |
| Authors: | GUO Yuan-yuan MA Tong-yi and GAO Li |
| |
| Institution: | School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China,School of Mathematics and Statistics, Hexi University, Zhangye 734000, China and School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
| |
| Abstract: | In this paper, we investigate the Orlicz mixed intersection bodies and its properties. By using geometric analysis, we introduce the concept of Orlicz mixed intersection bodies and obtain the continuity and affine invariant property of the Orlicz mixed intersection bodies operator. By applying the integral methods and Steiner symmetrization, the affine isoperimetric inequality for Orlicz mixed intersection bodies is established. |
| |
| Keywords: | convex bodies Orlicz mixed intersection bodies Steiner symmetrization affine isoperimetric inequality |
|
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
