Matteo Monti

activity

20202026

collaborators

8 papers

math.CA2026

Almost sparse operators and Bergman projectors on trees

José M. Conde Alonso, Matteo Monti, Elena Rizzo

We develop a sparse domination framework adapted to nested families in general measure spaces, possibly including point masses. We show that the Carleson condition is equivalent to…

math.CA2024

Endpoint estimates and sparse domination in nonhomogeneous trees

José M. Conde-Alonso, Filippo De Mari, Matteo Monti +2

We prove endpoint and sparse-like bounds for Bergman projectors on nonhomogeneous, radial trees $X$ that model manifolds with possibly unbounded geometry. The natural Bergman measu…

math.FA2023

Calderón-Zygmund theory on some Lie groups of exponential growth

Filippo De Mari, Matteo Levi, Matteo Monti +1

Let $G = N ⋊ A$ , where $N$ is a stratified Lie group and $A = R_{+}$ acts on $N$ via automorphic dilations. We prove that the group $G$ has the Calderón-Zygmund property…

math.FA2023

Horocyclic harmonic Bergman spaces on homogeneous trees

Filippo De Mari, Matteo Monti, Elena Rizzo

The main focus of this contribution is on the harmonic Bergman spaces $B_{α}^{p}$ on the $q$ -homogeneous tree $X_{q}$ endowed with a family of measures $σ_{α}$ that…

math.AP2023

$H^{1}$ and BMO spaces for exponentially decreasing measures on homogeneous trees

Matteo Monti

We consider a family of measures on a $q$ -homogeneous tree that decrease exponentially with respect to the distance from the origin. Such measures are doubling with respect to the…

math.CV2022

Harmonic Bergman projectors on homogeneous trees

Filippo De Mari, Matteo Monti, Maria Vallarino

In this paper we investigate some properties of the harmonic Bergman spaces $A^{p} (σ)$ on a $q$ -homogeneous tree, where $q \geq 2$ , $1 \leq p < \infty$ , and $σ$ is a finite meas…

math.RT2021

Unitarization of the Horocyclic Radon Transform on Symmetric Spaces

Francesca Bartolucci, Filippo De Mari, Matteo Monti

We consider the Radon transform for a dual pair $(X, Ξ)$ , where $X = G / K$ is a noncompact symmetric space and $Ξ$ is the space of horocycles of $X$ . We address the unitarization probl…

math.RT2020

Unitarization of the Horocyclic Radon Transform on Homogeneous Trees