Maria Vallarino

collaborators

4 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.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.CA2024

Endpoint estimates and sparse domination in nonhomogeneous trees

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.FA2024

Hardy spaces and Riesz transforms on a Lie group of exponential growth

Peter SjÃ¶gren, Maria Vallarino

Let $G$ be the Lie group $R^{2} ⋊ R^{+}$ endowed with the Riemannian symmetric space structure. Take a distinguished basis $X_{0}, X_{1}, X_{2}$ of left-invariant vec…