Marco Vitturi

activity

20172024

most citedA note on maximal Fourier Restriction for spheres in all dimensions

3 citations · 4 across the 8 of their papers we have counts for

collaborators

10 papers

math.CA2024

Singular multipliers on multiscale Zygmund sets

Odysseas Bakas, Valentina Ciccone, Francesco Di Plinio +3

Given an Orlicz space $L^{2} \subseteq X \subseteq L^{1}$ on $[0, 1]$ , with submultiplicative Young function $Y_{X}$ , we fully characterize the closed null sets $Ξ$ of the rea…

math.CA2024

Endpoint estimates for higher order Marcinkiewicz multipliers

Odysseas Bakas, Valentina Ciccone, Ioannis Parissis +1

We consider Marcinkiewicz multipliers of any lacunary order defined by means of uniformly bounded variation on each lacunary Littlewood--Paley interval of some fixed order $τ\geq 1…

math.CO2023

A conditional bound on sphere tangencies in all dimensions

Conrad Crowley, Marco Vitturi

We use polynomial method techniques to bound the number of tangent pairs in a collection of $N$ spheres in $R^{n}$ subject to a non-degeneracy condition, for any $n \geq 3$ .…

math.CA2022★ 1 cited

A restricted $2$ -plane transform related to Fourier Restriction for surfaces of codimension $2$

Spyridon Dendrinos, Andrei Mustata, Marco Vitturi

We draw a connection between the affine invariant surface measures constructed by P. Gressman and the boundedness of a certain geometric averaging operator associated to surfaces o…

math.CA2021

The non-resonant bilinear Hilbert--Carleson operator

Cristina Benea, Frederic Bernicot, Victor Lie +1

In this paper we introduce the class of bilinear Hilbert--Carleson operators ${B C^{a}}_{a > 0}$ defined by $$ BC^{a}(f,g)(x):= \sup_{λ\in {\mathbb R}} \Big|\int f(x-t)\, g(x+t)\, e^{…

math.CA2020

Some subcritical estimates for the $ℓ^{p}$ -improving problem for discrete curves

Spyridon Dendrinos, Kevin Hughes, Marco Vitturi

We apply Christ's method of refinements to the $ℓ^{p}$ -improving problem for discrete averages $A_{N}$ along polynomial curves in $Z^{d}$ . Combined with certain ele…

math.CA2018

Multiparameter singular integrals on the Heisenberg group: uniform estimates

Marco Vitturi, James Wright

We consider a class of multiparameter singular Radon integral operators on the Heisenberg group $H^{1}$ where the underlying variety is the graph of a polynomial. A remarka…

math.CA2018

A bilinear Rubio de Francia inequality for arbitrary rectangles

Frédéric Bernicot, Marco Vitturi

Let $R$ be a collection of disjoint dyadic rectangles $R$ with sides parallel to the axes, let $π_{R}$ denote the non-smooth bilinear projection onto $R$ \[ π_R (f,g)(x):=\…

math.CA2017

Bilinear Rubio de Francia inequalities for collections of non-smooth squares

Frédéric Bernicot, Marco Vitturi

Let $Ω$ be a collection of disjoint dyadic squares $ω$ , let $π_{ω}$ denote the non-smooth bilinear projection onto $ω$ \[ π_ω(f,g)(x):=\int\int \mathbf{1}_ω(ξ,η) \widehat{f}(ξ) \wide…

math.CA2017★ 3 cited

A note on maximal Fourier Restriction for spheres in all dimensions