23 citations · 25 across the 12 of their papers we have counts for
12 papers
Poincaré inequalities on hyperbolic-type spaces
Anna Mc Court, Federico Santagati, Maria Vallarino
We establish global -Poincaré inequalities, for , on a class of nondoubling hyperbolic-type metric measure spaces. The proof relies on a discretisation of the…
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…
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 that model manifolds with possibly unbounded geometry. The natural Bergman measu…
Hardy spaces and Riesz transforms on a Lie group of exponential growth
Peter Sjögren, Maria Vallarino
Let be the Lie group endowed with the Riemannian symmetric space structure. Take a distinguished basis of left-invariant vec…
weights on nonhomogeneous trees equipped with measures of exponential growth
Alessandro Ottazzi, Federico Santagati, Maria Vallarino
This paper aims to study weights in the context of a class of metric measure spaces with exponential volume growth, namely infinite trees with root at infinity equipped with…
Calderón-Zygmund theory on some Lie groups of exponential growth
Filippo De Mari, Matteo Levi, Matteo Monti +1
Let , where is a stratified Lie group and acts on via automorphic dilations. We prove that the group has the Calderón-Zygmund property…