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arXiv · 1908.07889

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

Jizheng Huang·Pengtao Li·Yu Liu
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Abstract

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 classical case $\alpha=1$ to investigate the space of functions with $\alpha$-{\it Hermite Bounded Variation} and its functional capacity and geometrical perimeter.

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Jizheng Huang, Pengtao Li, Yu Liu. 2019-08-21. Capacity & Perimeter from $\alpha$-Hermite Bounded Variation. https://arxiv.org/abs/1908.07889

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