Year: 2023
Author: Weidong Wang
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 69–82
Abstract
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 Busemann-Petty type problem for the general $L_p$-centroid bodies.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2021-0030
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 1 : pp. 69–82
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: $L_p$-centroid body general $L_p$-centroid body Busemann-Petty problem affirmation form negation form.