Tommaso Bruno

activity

20162026

most citedSchrödinger operators on Lie groups with purely discrete spectrum

4 citations · 5 across the 9 of their papers we have counts for

collaborators

Showing 2021 · math.FAShow all

3 papers · 2 filters

math.FA2021★ 4 cited

Schrödinger operators on Lie groups with purely discrete spectrum

Tommaso Bruno, Mattia Calzi

On a Lie group $G$ , we investigate the discreteness of the spectrum of Schrödinger operators of the form $L + V$ , where $L$ is a subelliptic sub-Laplacian on $G$ …

math.FA2021★ 1 cited

Local and nonlocal Poincaré inequalities on Lie groups

Tommaso Bruno, Marco M. Peloso, Maria Vallarino

We prove a local $L^{p}$ -Poincaré inequality, $1 \leq p < \infty$ , on noncompact Lie groups endowed with a sub-Riemannian structure. We show that the constant involved grows at most e…

math.FA2021

Homogeneous algebras via heat kernel estimates

Tommaso Bruno

We study homogeneous Besov and Triebel--Lizorkin spaces defined on doubling metric measure spaces in terms of a self-adjoint operator whose heat kernel satisfies Gaussian estimates…