Busemann-Petty Type Problem for the General L_(p)-Centroid Bodies  

作　　者：Weidong Wang 

机构地区：[1]Three Gorges Mathematical Research Center,China Three Gorges University,Yichang,Hubei 443002,China [2]College of Science,China Three Gorges University,Yichang,Hubei 443002,China

出　　处：《Analysis in Theory and Applications》2023年第1期69-82,共14页分析理论与应用（英文刊）

基　　金：supported in part by the Natural Science Foundation of China (Grant No.11371224)。

摘　　要：Lutwak showed the Busemann-Petty type problem(also called the Shephard type problem)for the centroid bodies.Grinberg and Zhang gave an affirmation and a negative form of the Busemann-Petty type problem for the L_(p)-centroid bodies.In this paper,we obtain an affirmation form and two negative forms of the BusemannPetty type problem for the general L_(p)-centroid bodies.

关 键 词：Lp-centroid body general L_(p)-centroid body Busemann-Petty problem affirmation form negation form 

分 类 号：O411.1[理学—理论物理]