Mathematics

CLC number: O175

The Normalized L_p Mixed Intersection Bodies

规范化的L_p混合相交体

School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China

Received: 23 June 2024

Abstract

In this paper, we introduce the normalized $L_p$ mixed intersection body and demonstrate how the normalized $L_p$ mixed intersection body operator can be used to obtain the polar body operator as a limit. Moreover, we study the $L_p$-Busemann-Petty type problem for the normalized $L_p$ mixed intersection bodies.

摘要

我们介绍了规范化的$L_p$混合相交体并且证明了如何使用规范化的$L_p$混合相交体得到作为极限的极体算子。此外，我们研究了规范化的$L_p$混合相交体的$L_p$-Busemann-Petty型问题。