Vincenzo Leone

activity

20232026

collaborators

3 papers

math.AP2026

Maximal inequalities and Riesz transforms for vector-valued magnetic Schrödinger operators

Davide Addona, Vincenzo Leone, Luca Lorenzi +2

We consider vector-valued magnetic Schrödinger operators $- Δ_{a} + V$ with magnetic potential $a \in L_{loc}^{2} (R^{d}; R^{d})$ and electric potential…

math.AP2025

Bounded $H^{\infty}$ -calculus for vectorial-valued operators with Gaussian kernel estimates

Davide Addona, Vincenzo Leone, Luca Lorenzi +1

We prove that the vector-valued generator of a bounded holomorphic semigroup represented by a kernel satisfying Gaussian estimates with bounded $H^{\infty}$ -calculus in $L^2(\mathbb…

math.AP2023

$L^{p}$ Maximal regularity for vector-valued Schrödinger operators

Davide Addona, Vincenzo Leone, Luca Lorenzi +1

In this paper we consider the vector-valued Schrödinger operator $- Δ + V$ , where the potential term $V$ is a matrix-valued function whose entries belong to $L^1_{\rm loc}(\mathbb{R}…

Maximal inequalities and Riesz transforms for vector-valued magnetic Schrödinger operators

Bounded H∞-calculus for vectorial-valued operators with Gaussian kernel estimates

Lp Maximal regularity for vector-valued Schrödinger operators

Bounded $H^{\infty}$ -calculus for vectorial-valued operators with Gaussian kernel estimates

$L^{p}$ Maximal regularity for vector-valued Schrödinger operators