Capacity & Perimeter from $\alpha$-Hermite Bounded Variation

Jizheng Huang, Pengtao Li, Yu Liu

Let ${\mathcal{H}}_{\alpha }=\Delta -(\alpha -1)|x{|}^{\alpha }$ be an $[1,\infty )\ni \alpha$-Hermite operator for the hydrogen atom located at the origin in ${\mathbb{R}}^d$. In this paper, we are motivated by the classi…