9 citations · 30 across the 10 of their papers we have counts for
11 papers
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…
Triangular maximal operators on locally finite trees
Stefano Meda, Federico Santagati
We introduce the centred and the uncentred triangular maximal operators and , respectively, on any locally finite tree in which each vertex has at least th…
Riesz transform and spectral multipliers for the flow Laplacian on nonhomogeneous trees
Alessio Martini, Federico Santagati, Anita Tabacco +1
Let be a locally finite tree equipped with a flow measure . Let be the flow Laplacian on . We prove that the first order Riesz transform $\nabla \mathcal…
Hardy-Littlewood maximal operators on trees with bounded geometry
Matteo Levi, Stefano Meda, Federico Santagati +1
In this paper we study the boundedness of the centred and the uncentred Hardy--Littlewood maximal operators on the class , , of trees with -bou…
Optimal heat kernel bounds and asymptotics on Damek--Ricci spaces
Tommaso Bruno, Federico Santagati
We give optimal bounds for the radial, space and time derivatives of arbitrary order of the heat kernel of the Laplace--Beltrami operator on Damek--Ricci spaces. In the case of sym…
Heat kernel and Riesz transform for the flow Laplacian on homogeneous trees
Alessio Martini, Federico Santagati, Maria Vallarino
Let denote the homogeneous tree of degree with the standard graph distance and the canonical flow measure . The metric measure space $(\mathbb T_{q+1…
Poincaré inequalities on graphs
Matteo Levi, Federico Santagati, Anita Tabacco +1
We prove local -Poincaré inequalities, , on quasiconvex sets in infinite graphs endowed with a family of locally doubling measures, and global -Poincaré…
Hardy spaces on homogeneous trees with flow measures
Federico Santagati
We consider a homogeneous tree endowed with a nondoubling flow measure of exponential growth and a probabilistic Laplacian self-adjoint with respect to . We pr…
Riesz transform for a flow Laplacian on homogeneous trees
Matteo Levi, Alessio Martini, Federico Santagati +2
We prove the -boundedness, for , of the first order Riesz transform associated to the flow Laplacian on a homogeneous tree with the canonical flow measure. T…
Analysis on trees with nondoubling flow measures
Matteo Levi, Federico Santagati, Anita Tabacco +1
We consider trees with root at infinity endowed with flow measures, which are nondoubling measures of at least exponential growth and which do not satisfy the isoperimetric inequal…
Poincaré and Hardy inequalities on homogeneous trees
Elvise Berchio, Federico Santagati, Maria Vallarino
We study Hardy-type inequalities on infinite homogeneous trees. More precisely, we derive optimal Hardy weights for the combinatorial Laplacian in this setting and we obtain, as a…