Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies
DOI:
https://doi.org/10.4208/ata.OA-2021-0030Keywords:
$L_p$-centroid body, general $L_p$-centroid body, Busemann-Petty problem, affirmation form, negation form.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.
Published
2023-03-03
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How to Cite
Busemann-Petty Type Problem for the General $L_p$-Centroid Bodies. (2023). Analysis in Theory and Applications, 39(1), 69-82. https://doi.org/10.4208/ata.OA-2021-0030
