Busemann--Petty-type problem for μ-intersection bodies

Author:

Li Chao1,Chen Gangyi2

Affiliation:

1. School of Mathematics and Statistics , Ningxia University , Yinchuan , Ningxia, 750021; and School of Mathematical Sciences, South China Normal University, Guangzhou, Guangdong, 510631 , P. R. China

2. School of Mathematics and Information Science , Guangzhou University , Guangzhou , Guangdong, 510006 , P. R. China

Abstract

Abstract The Busemann–Petty problem of arbitrary measure for symmetric star bodies is proposed and studied by Zvavitch, which is a generalization of the classical Busemann–Petty problem. In this paper, we study the Busemann–Petty-type problem for homogeneous measure for general star bodies.

Publisher

Walter de Gruyter GmbH

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