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| 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 |
| DOI： |
| 分类号:O184;O186.5 |
| 基金项目:Supported by the National Natural Science Foundation of China (11561020); the Science and Technology Plan of the Gansu Province (145RJZG227). |
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| ORLICZ MIXED INTERSECTION BODIES |
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GUO Yuan-yuan,MA Tong-yi,GAO Li
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| 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. |
| Key words: convex bodies Orlicz mixed intersection bodies Steiner symmetrization affine isoperimetric inequality |
