22 citations · 49 across the 17 of their papers we have counts for
18 papers · 1 filter
Sharp Gaussian decay for the one-dimensional harmonic oscillator
Danylo Radchenko, João P. G. Ramos
We prove a conjecture by Vemuri by proving sharp bounds on sums of Hermite functions multiplied by an exponentially decaying factor. More explicitly, we prove that, for ea…
The Multilinear Spherical Maximal Function in one dimension
Georgios Dosidis, João P. G. Ramos
In dimension we obtain to boundedness for the multilinear spherical maximal function in the largest…
On Gaussian decay rates of harmonic oscillators and equivalences of related Fourier uncertainty principles
Aleksei Kulikov, Lucas Oliveira, João P. G. Ramos
We make progress on a question by Vemuri on the optimal Gaussian decay of harmonic oscillators, proving the original conjecture up to an arithmetic progression of times. The techni…
Perturbed Fourier uniqueness and interpolation results in higher dimensions
João P. G. Ramos, Martin Stoller
We obtain new Fourier interpolation and -uniqueness results in all dimensions, extending methods and results by the first author and M. Sousa, and by the second author. We show tha…
Uniform bounds for oscillatory and polynomial Carleson operators
João P. G. Ramos
We prove that a variety of oscillatory and polynomial Carleson operators are uniformly bounded on the family of parameters under considerations. As a particular application of our…
A note on discrete Heisenberg uniqueness pairs for the parabola
Felipe Gonçalves, João P. G. Ramos
We discuss on Heisenberg uniqueness pairs for the parabola given by discrete sequences along straight lines. Our method consists in linking the problem at hand with recent uniquene…
Perturbed interpolation formulae and applications
João P. G. Ramos, Mateus Sousa
We employ functional analysis techniques in order to deduce that some classical and recent interpolation results in Fourier analysis can be suitably perturbed. As an application of…
New Sign Uncertainty Principles
Felipe Gonçalves, Diogo Oliveira e Silva, João P. G. Ramos
We prove new sign uncertainty principles which vastly generalize the recent developments of Bourgain, Clozel & Kahane and Cohn & Gonçalves, and apply our results to a variety of sp…
On regularity and mass concentration phenomena for the sign uncertainty principle
Felipe Gonçalves, Diogo Oliveira e Silva, João P. G. Ramos
The sign uncertainty principle of Bourgain, Clozel & Kahane asserts that if a function and its Fourier transform are nonpositive at the…
On optimal autocorrelation inequalities on the real line
José Madrid, João P. G. Ramos
We study autocorrelation inequalities, in the spirit of Barnard and Steinerberger's work. In particular, we obtain improvements on the sharp constants in some of the inequalities p…
On the endpoint behaviour of oscillatory maximal function
Tainara Borges, Cynthia Bortolotto, João P. G. Ramos
Inspired by a question of Lie, we study boundedness in subspaces of of oscillatory maximal functions. In particular, we construct functions in w…
Fourier uniqueness pairs of powers of integers
João P. G. Ramos, Mateus Sousa
We prove, under certain conditions on , that each Schwartz function such that must vanish identically, complementing…
Weak differentiability for fractional maximal functions of general functions on domains
João P. G. Ramos, Olli Saari, Julian Weigt
Let be bounded a domain. We prove under certain structural assumptions that the fractional maximal operator relative to maps …
The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals
João P. G. Ramos
We make progress on an interesting problem on the boundedness of maximal modulations of the Hilbert transform along the parabola. Namely, if we consider the multiplier arising from…
Low-dimensional maximal restriction principles for the Fourier transform
João Pedro Ramos
Following the ideas from a paper by the same author, we prove abstract maximal restriction results for the Fourier transform. Our results deal mainly with maximal operators of conv…
Maximal restriction estimates and the maximal function of the Fourier transform
João P. G. Ramos
We prove a maximal restriction inequality for the Fourier transform, providing an answer to a question left open by Müller, Ricci and Wright. Our methods are similar to the ones in…
Regularity of fractional maximal functions through Fourier multipliers
David Beltran, João Pedro Ramos, Olli Saari
We prove endpoint bounds for derivatives of fractional maximal functions with either smooth convolution kernel or lacunary set of radii in dimensions . We also show that…
Sharp total variation results for maximal functions
João Pedro Ramos
In this article, we prove some total variation inequalities for maximal functions. Our results deal with two possible generalizations of the results contained in Aldaz and Pérez Lá…