Federico Santagati

activity

20242026

collaborators

6 papers

math.CA2026

PoincarÃ© inequalities on hyperbolic-type spaces

Anna Mc Court, Federico Santagati, Maria Vallarino

We establish global $L^{p}$ -PoincarÃ© inequalities, for $p \in [1, \infty)$ , on a class of nondoubling hyperbolic-type metric measure spaces. The proof relies on a discretisation of th…

math.FA2026

Uncentred maximal operators with respect to half balls on Damek--Ricci spaces

Nikolaos Chalmoukis, Stefano Meda, Effie Papageorgiou +1

In this paper we study a variant of the uncentred Hardy--Littlewood maximal operator on Damek--Ricci spaces in which balls are replaced by suitable half balls. Perhaps surprisingly…

math.AP2026

The fractional Porous Medium Equation on graphs

Elvise Berchio, Federico Santagati, Maria Vallarino

We study the fractional porous medium equation on connected infinite graphs with no local finiteness assumption. We introduce a notion of weak dual solution adapted to the discrete…

math.FA2025

Harmonic Bergman spaces on locally finite trees

Alessandro Ottazzi, Federico Santagati

We define the harmonic Bergman space on locally finite trees with respect to a suitable probabilistic Laplacian and a class of weighted flow measures. We characterise the correspon…

math.FA2025

Spider's webs and sharp $L^{p}$ bounds for the Hardy--Littlewood maximal operator on Gromov hyperbolic spaces

Nikolaos Chalmoukis, Stefano Meda, Federico Santagati

In this paper we prove that if $1 < a \leq b < a^{2}$ and $X$ is a locally doubling $I^´$ -hyperbolic complete connected length metric measure space with $(a, b)$ -pinched exponential growth…

math.FA2024

Carleson measures on locally finite trees