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arXiv · 2307.07971

Extreme inequalities of general $L_p$ $\mu$-projection body and general $L_p$ $\mu$-centroid body

Chao Li·Gangyi Chen
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Abstract

In this paper, we introduce the concept of general $L_p$ projection body and general $L_p$ centroid body of general measures with positive homogeneity density function, and prove the corresponding extreme inequalities. Meanwhile, we also study their measure comparison problem and monotone inequalities.

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Chao Li, Gangyi Chen. 2023-07-16. Extreme inequalities of general $L_p$ $\mu$-projection body and general $L_p$ $\mu$-centroid body. https://arxiv.org/abs/2307.07971

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