Shephard type problems for general L p $L_{p}$ -centroid bodies

摘要

Lutwak and Zhang proposed the concept of L p $L_{p}$ -centroid bodies. Then Feng and Wang gave the notion of general L p $L_{p}$ -centroid bodies. In this article, based on the L p $L_{p}$ -dual affine surface area, we address Shephard type problems for the general L p $L_{p}$ -centroid bodies.