Alessio Martini

activity

20082024

B^{+} \to K^{+} ν ν ˉ

decays using an inclusive tagging method at Belle II

60 citations · 582 across the 67 of their papers we have counts for

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14 papers · 1 filter

math.AP2021★ 6 cited

An optimal multiplier theorem for Grushin operators in the plane, I

Gian Maria Dall'Ara, Alessio Martini

Let $L = - \partial_{x}^{2} - V (x) \partial_{y}^{2}$ be the Grushin operator on $R^{2}$ with coefficient $V : R \to [0, \infty)$ . Under the sole assumptions that $V…

math.AP2018★ 11 cited

Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type

Alessio Martini, Detlef Müller, Sebastiano Nicolussi Golo

Let $L$ be a smooth second-order real differential operator in divergence form on a manifold of dimension $n$ . Under a bracket-generating condition, we show that the rang…

math.AP2017★ 5 cited

A robust approach to sharp multiplier theorems for Grushin operators

Gian Maria Dall'Ara, Alessio Martini

We prove a multiplier theorem of Mihlin-Hörmander type for operators of the form $- Δ_{x} - V (x) Δ_{y}$ on $R_{x}^{d_{1}} \times R_{y}^{d_{2}}$ , where $V(x) = \sum_{j=1}^{d_1}…

math.AP2016★ 13 cited

Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres

Julian Ahrens, Michael G. Cowling, Alessio Martini +1

A sharp $L^{p}$ spectral multiplier theorem of Mihlin--Hörmander type is proved for a distinguished sub-Laplacian on quaternionic spheres. This is the first such result on compact su…

math.AP2016★ 14 cited

Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres

Alessio Martini

Let $□_{b}$ be the Kohn Laplacian acting on $(0, j)$ -forms on the unit sphere in $C^{n}$ . In a recent paper of Casarino, Cowling, Sikora and the author, a spectral multiplie…

math.AP2015★ 21 cited

Spectral multipliers on $2$ -step groups: topological versus homogeneous dimension

Alessio Martini, Detlef Müller

Let $G$ be a $2$ -step stratified group of topological dimension $d$ and homogeneous dimension $Q$ . Let $L$ be a homogeneous sub-Laplacian on $G$ . By a theorem due to Christ and to…

math.AP2015★ 8 cited

Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups

Alessio Martini, Alessandro Ottazzi, Maria Vallarino

Let $G = N ⋊ A$ , where $N$ is a stratified group and $A = R$ acts on $N$ via automorphic dilations. Homogeneous sub-Laplacians on $N$ and $A$ can be lifted to left-i…

math.AP2015★ 6 cited

Spectral multipliers for the Kohn Laplacian on forms on the sphere in $C^{n}$

Valentina Casarino, Michael G. Cowling, Alessio Martini +1

The unit sphere $S$ in $C^{n}$ is equipped with the tangential Cauchy-Riemann complex and the associated Laplacian $□_{b}$ . We prove a Hörmander spectral multiplie…

math.AP2013★ 20 cited

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 $L$ on a $2$ -step stratified group $G$ with Lie algebra $g$ , an operator of…

math.AP2012★ 9 cited

Spectral multipliers on Heisenberg-Reiter and related groups

Alessio Martini

Let $L$ be a homogeneous sublaplacian on a 2-step stratified Lie group $G$ of topological dimension $d$ and homogeneous dimension $Q$ . By a theorem due to Christ and to Mauceri and…

math.AP2012★ 11 cited

$L^{p}$ spectral multipliers on the free group $N_{3, 2}$

Alessio Martini, Detlef Müller

Let $L$ be the homogeneous sublaplacian on the 6-dimensional free 2-step nilpotent group $N_{3, 2}$ on 3 generators. We prove a theorem of Mihlin-Hörmander type for the functional c…

math.AP2012★ 17 cited

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 $R^{d_{1}} \times R^{d_{2}}$ are obtained in…

math.AP2012

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…

math.AP2012

Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators

Alessio Martini, Adam Sikora

We study the Grushin operators acting on $R_{x^{'}}^{d_{1}} \times R_{x "}^{d_{2}}$ and defined by the formula \[ L=-\sum_{\jone=1}^{d_1}\partial_{x'_\jone}^2 - (\sum_{\jone=1}^{d_1}|x'_\…

An optimal multiplier theorem for Grushin operators in the plane, I

Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type

A robust approach to sharp multiplier theorems for Grushin operators

Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres

Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres

Spectral multipliers on 2-step groups: topological versus homogeneous dimension

Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups

Spectral multipliers for the Kohn Laplacian on forms on the sphere in Cn

Spectral multiplier theorems of Euclidean type on new classes of 2-step stratified groups

Spectral multipliers on Heisenberg-Reiter and related groups

Lp spectral multipliers on the free group N3,2​

A sharp multiplier theorem for Grushin operators in arbitrary dimensions

Sub-Finsler geometry and finite propagation speed

Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators

Spectral multipliers on $2$ -step groups: topological versus homogeneous dimension

Spectral multipliers for the Kohn Laplacian on forms on the sphere in $C^{n}$

$L^{p}$ spectral multipliers on the free group $N_{3, 2}$