20 citations · 69 across the 14 of their papers we have counts for
5 papers · 1 filter
An FIO-based approach to -bounds for the wave equation on -step Carnot groups: the case of Métivier groups
Alessio Martini, Detlef Müller
Let be a homogeneous left-invariant sub-Laplacian on a -step Carnot group. We devise a new geometric approach to sharp fixed-time -bounds with loss of derivat…
Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type
Alessio Martini, Detlef Müller, Sebastiano Nicolussi Golo
Let be a smooth second-order real differential operator in divergence form on a manifold of dimension . Under a bracket-generating condition, we show that the rang…
Spectral multiplier theorems of Euclidean type on new classes of 2-step stratified groups
Alessio Martini, Detlef Müller
From a theorem of Christ and Mauceri and Meda it follows that, for a homogeneous sublaplacian on a -step stratified group with Lie algebra , an operator of…
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…