4 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…
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…