TY - JOUR
T1 - Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies
AU - Wang , Weidong
JO - Analysis in Theory and Applications
VL - 1
SP - 69
EP - 82
PY - 2023
DA - 2023/03
SN - 39
DO - http://doi.org/10.4208/ata.OA-2021-0030
UR - https://global-sci.org/intro/article_detail/ata/21462.html
KW - $L_p$-centroid body, general $L_p$-centroid body, Busemann-Petty problem, affirmation form, negation form.
AB - <p style="text-align: justify;">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.</p>