A. Tabacco

activity

20122025

most citedSchrödinger type propagators, pseudodifferential operators and modulation spaces

14 citations · 37 across the 9 of their papers we have counts for

collaborators

15 papers

math.FA2025

On the equality of De Branges-Rovnyak and Dirichlet spaces

Eugenio Dellepiane, Marco M. Peloso, Anita Tabacco

This work is devoted to the comparison of de Branges--Rovnyak $H (b)$ spaces harmonically weighted Dirichlet spaces $D_{μ}$ . We completely characterize which $H (b)$ spaces a…

math.FA2023★ 1 cited

Riesz transform and spectral multipliers for the flow Laplacian on nonhomogeneous trees

Alessio Martini, Federico Santagati, Anita Tabacco +1

Let $T$ be a locally finite tree equipped with a flow measure $m$ . Let $L$ be the flow Laplacian on $(T, m)$ . We prove that the first order Riesz transform $\nabla \mathcal…

math.FA2022★ 2 cited

Poincaré inequalities on graphs

Matteo Levi, Federico Santagati, Anita Tabacco +1

We prove local $L^{p}$ -Poincaré inequalities, $p \in [1, \infty]$ , on quasiconvex sets in infinite graphs endowed with a family of locally doubling measures, and global $L^{p}$ -Poincaré…

math.FA2021★ 9 cited

Riesz transform for a flow Laplacian on homogeneous trees

Matteo Levi, Alessio Martini, Federico Santagati +2

We prove the $L^{p}$ -boundedness, for $p \in (1, \infty)$ , of the first order Riesz transform associated to the flow Laplacian on a homogeneous tree with the canonical flow measure. T…

math.FA2020★ 9 cited

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…

math.FA2020

BMO spaces on weighted homogeneous trees

Laura Arditti, Anita Tabacco, Maria Vallarino

We consider an infinite homogeneous tree $V$ endowed with the usual metric $d$ defined on graphs and a weighted measure $μ$ . The metric measure space $(V, d, μ)$ is…

math.FA2019

Estimates for matrix coefficients of representations

Tommaso Bruno, Michael G. Cowling, Fabio Nicola +1

Estimates for matrix coefficients of unitary representations of semisimple Lie groups have been studied for a long time, starting with the seminal work by Bargmann, by Ehrenpreis a…

math.FA2019

Hardy spaces on weighted homogeneous trees

Laura Arditti, Anita Tabacco, Maria Vallarino

We consider an infinite homogeneous tree V endowed with the usual metric d defined on graphs and a weighted measure μ. The metric measure space V,d,μ) is nondoubling and of exponen…

math.FA2018

Sobolev spaces on Lie groups: embedding theorems and algebra properties

Tommaso Bruno, Marco M. Peloso, Anita Tabacco +1

Let $G$ be a noncompact connected Lie group, denote with $ρ$ a right Haar measure and choose a family of linearly independent left-invariant vector fields $X$ on $G$ satis…

math.FA2018

Highly oscillatory unimodular Fourier multipliers on modulation spaces

Fabio Nicola, Eva Primo, Anita Tabacco

We study the continuity on the modulation spaces $M^{p, q}$ of Fourier multipliers with symbols of the type $e^{i μ (ξ)}$ , for some real-valued function $μ (ξ)$ . A number of results ar…

math.FA2017

Strichartz estimates for the metaplectic representation

Alessandra Cauli, Fabio Nicola, Anita Tabacco

Strichartz estimates are a manifestation of a dispersion phenomenon, exhibited by certain partial differential equations, which is detected by suitable Lebesgue space norms. In mos…

math.FA2016

Endpoint results for Fourier integral operators on noncompact symmetric spaces

Tommaso Bruno, Anita Tabacco, Maria Vallarino

Let X be a noncompact symmetric space of rank one and let h^1(X) be a local atomic Hardy space. We prove the boundedness from h^1(X) to L^1(X) and on h^1(X) of some classes of Four…

math.FA2016

Stockwell-Like Frames for Sobolev Spaces

Ubertino Battisti, Michele Berra, Anita Tabacco

We construct a family of frames describing Sobolev norm and Sobolev seminorm of the space $H^{s} (R^{d})$ . Our work is inspired by the Discrete Orthonormal Stockwell Transform…

math.RT2014★ 2 cited

Triangular Subgroups of $S p (d, R)$ and Reproducing Formulae

Elena Cordero, Anita Tabacco

We consider the (extended) metaplectic representation of the semidirect product $G = H^{d} ⋊ S p (d, R)$ between the Heisenberg group and the symplectic…

math.FA2012★ 14 cited

Schrödinger type propagators, pseudodifferential operators and modulation spaces

Elena Cordero, Anita Tabacco, Patrik Wahlberg

We prove continuity results for Fourier integral operators with symbols in modulation spaces, acting between modulation spaces. The phase functions belong to a class of nondegenera…