Extreme inequalities of general $L_p$ $μ$-projection body and general $L_p$ $μ$-centroid body

Chao Li, Gangyi Chen

Published 2023-07-16Version 1

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.