Orlicz混合相交体
ORLICZ MIXED INTERSECTION BODIES

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.
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