Giorgio Metafune

activity

20142024

most citedSpectral properties of non-selfadjoint extensions of the Calogero Hamiltonian

6 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2024

Domain characterization for Schrödinger operators with sub-quadratic singularity

Giorgio Metafune, Motohiro Sobajima

We characterize the domain of the Schrödinger operators $S = - Δ + c ∣ x ∣^{- α}$ in $L^{p} (R^{N})$ , with $0 < α < 2$ and $c \in R$ . When $α p < N$ , the domain characterization is ess…

math.AP2021★ 1 cited

Lp estimates for the Caffarelli-Silvestre extension operators

Giorgio Metafune, Luigi Negro, Chiara Spina

We study elliptic and parabolic problems governed by the singular elliptic operators Delta_x+c\yD_y-b\y^2 on the half-space R^{N+1}_+.

math.AP2014★ 6 cited

Spectral properties of non-selfadjoint extensions of the Calogero Hamiltonian

G. Metafune, M. Sobajima

We describe all extensions of the Calogero Hamiltonian \[L=-\frac{d^2}{dr^2}+\frac{b}{r^2} \quad \text{in}\ L^2(\mathbb{R}_+), \quad b <-\frac{1}{4}\] having non empty resolvent an…