@Article{ATA-39-69, author = {Wang , Weidong}, title = {Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {1}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2021-0030}, url = {http://global-sci.org/intro/article_detail/ata/21462.html} }