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

Xia Zhou, Deping Ye

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