Deping Ye

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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.FA2024

The Riesz $I^\pm$ -energy of log-concave functions and related Minkowski problem

Niufa Fang, Deping Ye, Zengle Zhang

We calculate the first order variation of the Riesz $I^\pm$ -energy of a log-concave function $f$ with respect to the Asplund sum. Such a variational formula induces the Riesz $I^\pm$ -ene…

On the mth order p-affine capacity

The Riesz I^±-energy of log-concave functions and related Minkowski problem

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

The Riesz $I^\pm$ -energy of log-concave functions and related Minkowski problem