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arXiv · 1908.07889

Capacity & Perimeter from $α$-Hermite Bounded Variation

Jizheng Huang·Pengtao Li·Yu Liu
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Abstract

Let $\mathcal{H}_α=Δ-(α-1)|x|^α$ be an $[1,\infty)\niα$-Hermite operator for the hydrogen atom located at the origin in $\mathbb R^d$. In this paper, we are motivated by the classical case $α=1$ to investigate the space of functions with $α$-{\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 $α$-Hermite Bounded Variation. https://arxiv.org/abs/1908.07889

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