BV spaces and the perimeters related to Schrodinger operators with inverse-square potentials and applications to the rank-one theorem

Yang Han, Jizheng Huang, Pengtao Li +1

For $a\ge -(\frac{d}{2}-1{)}^2$ and $2\sigma =d-2-({(d-2)}^2+4a{)}^{1/2}$, let $$\begin{cases}\mathcal{H}_{a}= - Δ+ \frac{a} {{{{ | x |}^2}}},\\ \mathcal{\widetilde{H}}_…