60 citations · 582 across the 67 of their papers we have counts for
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Spectral multipliers on Heisenberg-Reiter and related groups
Alessio Martini
Let be a homogeneous sublaplacian on a 2-step stratified Lie group of topological dimension and homogeneous dimension . By a theorem due to Christ and to Mauceri and…
spectral multipliers on the free group
Alessio Martini, Detlef Müller
Let be the homogeneous sublaplacian on the 6-dimensional free 2-step nilpotent group on 3 generators. We prove a theorem of Mihlin-Hörmander type for the functional c…
A sharp multiplier theorem for Grushin operators in arbitrary dimensions
Alessio Martini, Detlef Müller
In a recent work by A. Martini and A. Sikora (arXiv:1204.1159), sharp L^p spectral multiplier theorems for the Grushin operators acting on are obtained in…
Sub-Finsler geometry and finite propagation speed
Michael G. Cowling, Alessio Martini
We prove a number of results on the geometry associated to the solutions of evolution equations given by first-order differential operators on manifolds. In particular, we consider…
Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators
Alessio Martini, Adam Sikora
We study the Grushin operators acting on and defined by the formula \[ L=-\sum_{\jone=1}^{d_1}\partial_{x'_\jone}^2 - (\sum_{\jone=1}^{d_1}|x'_\…