Tommaso Bruno

activity

20162026

most citedSchrödinger operators on Lie groups with purely discrete spectrum

4 citations · 8 across the 13 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.FA2018★ 2 cited

Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups

Tommaso Bruno

Given a differential operator defined in terms of left-invariant vector fields on a Lie group, we prove that the local condition defining maximal hypoellipticity is equivalent to a…

math.FA2018

Sobolev spaces on Lie groups: embedding theorems and algebra properties

Tommaso Bruno, Marco M. Peloso, Anita Tabacco +1

Let $G$ be a noncompact connected Lie group, denote with $ρ$ a right Haar measure and choose a family of linearly independent left-invariant vector fields $X$ on $G$ satis…

math.FA2018

Singular integrals and Hardy type spaces for the inverse Gauss measure

Tommaso Bruno

Let $γ_{- 1}$ be the absolutely continuous measure on $R^{n}$ whose density is the reciprocal of a Gaussian and consider the natural weighted Laplacian $A$ on $L^2(…

math.FA2018

Endpoint results for the Riesz transform of the Ornstein-Uhlenbeck operator

Tommaso Bruno

In this paper we introduce a new atomic Hardy space $X^{1} (γ)$ adapted to the Gauss measure $γ$ , and prove the boundedness of the first order Riesz transform associated with the Orns…