9 citations · 76 across the 31 of their papers we have counts for
4 papers · 1 filter
Local and nonlocal Poincaré inequalities on Lie groups
Tommaso Bruno, Marco M. Peloso, Maria Vallarino
We prove a local -Poincaré inequality, , on noncompact Lie groups endowed with a sub-Riemannian structure. We show that the constant involved grows at most e…
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…
Schrödinger equation on noncompact symmetric spaces
Jean-Philippe Anker, Stefano Meda, Vittoria Pierfelice +2
We establish sharp-in-time kernel and dispersive estimates for the Schrödinger equation on non-compact Riemannian symmetric spaces of any rank. Due to the particular geometry at in…
Maximal characterisation of local Hardy spaces on locally doubling manifolds
Alessio Martini, Stefano Meda, Maria Vallarino
We prove a radial maximal function characterisation of the local atomic Hardy space h^1(M) on a Riemannian manifold M with positive injectivity radius and Ricci curvature bounded f…