9 citations · 37 across the 13 of their papers we have counts for
6 papers · 1 filter
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…
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…
Hardy--Littlewood fractional maximal operators on homogeneous trees
Matteo Levi, Federico Santagati
We study the mapping properties of the Hardy--Littlewood fractional maximal operator between Lorentz spaces of the homogeneous tree and discuss the optimality of all the results.
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…
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…