Deping Ye

activity

20232026

most citedThe dual Orlicz curvature measures for log-concave functions and their related Minkowski problems

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.MG2026

The $L_{p}$ Minkowski problem for $C$ -close sets: existence and continuity

Wen Ai, Deping Ye, Baocheng Zhu

Let $C$ be a pointed closed convex cone in $R^{n}$ with nonempty interior, and let $S^{n - 1}$ denote the unit sphere in $R^{n}$ . The $L_{p}$ Minkowski problem for $C$ -cl…

math.FA2025

On the $m$ th order $p$ -affine capacity

Xia Zhou, Deping Ye

Let $M_{n, m} (R)$ denote the space of $n \times m$ real matrices, and $K_{o}^{n, m}$ be the set of convex bodies in $M_{n, m} (R)$ containing the origin. We…

math.MG2025

The $m$ th order Orlicz projection bodies

Xia Zhou, Deping Ye, Zengle Zhang

Let $M_{n, m} (R)$ be the space of $n \times m$ real matrices. Define $K_{o}^{n, m}$ as the set of convex compact subsets in $M_{n, m} (R)$ with nonempty inter…

math.FA2024

The Riesz $α$ -energy of log-concave functions and related Minkowski problem

Niufa Fang, Deping Ye, Zengle Zhang

We calculate the first order variation of the Riesz $α$ -energy of a log-concave function $f$ with respect to the Asplund sum. Such a variational formula induces the Riesz $α$ -energ…

math.MG2024

The $L_{p}$ dual Minkowski problem for unbounded closed convex sets

Wen Ai, Yunlong Yang, Deping Ye

The central focus of this paper is the $L_{p}$ dual Minkowski problem for $C$ -compatible sets, where $C$ is a pointed closed convex cone in $R^{n}$ with nonempty interior. Suc…

math.MG2023★ 1 cited

The dual Orlicz curvature measures for log-concave functions and their related Minkowski problems

Niufa Fang, Deping Ye, Zengle Zhang +1

The variation of a class of Orlicz moments with respect to the Asplund sum within the class of log-concave functions is demonstrated. Such a variational formula naturally leads to…

The Lp​ Minkowski problem for C-close sets: existence and continuity

On the mth order p-affine capacity

The mth order Orlicz projection bodies

The Riesz α-energy of log-concave functions and related Minkowski problem