3 citations · 3 across the 4 of their papers we have counts for
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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 defined by $$ BC^{a}(f,g)(x):= \sup_{λ\in {\mathbb R}} \Big|\int f(x-t)\, g(x+t)\, e^{…
Some subcritical estimates for the -improving problem for discrete curves
Spyridon Dendrinos, Kevin Hughes, Marco Vitturi
We apply Christ's method of refinements to the -improving problem for discrete averages along polynomial curves in . Combined with certain ele…
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 where the underlying variety is the graph of a polynomial. A remarka…
A bilinear Rubio de Francia inequality for arbitrary rectangles
Frédéric Bernicot, Marco Vitturi
Let be a collection of disjoint dyadic rectangles with sides parallel to the axes, let denote the non-smooth bilinear projection onto \[ π_R (f,g)(x):=\…
A note on maximal Fourier Restriction for spheres in all dimensions
Marco Vitturi
We prove a maximal Fourier restriction theorem for the sphere in for any dimension in a restricted range of exponents given by the Ste…