João P. G. Ramos

activity

20172023

most citedRegularity of fractional maximal functions through Fourier multipliers

22 citations · 49 across the 17 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.CA2019

Fourier uniqueness pairs of powers of integers

João P. G. Ramos, Mateus Sousa

We prove, under certain conditions on $(α, β)$ , that each Schwartz function $f$ such that $f (\pm n^{α}) = f^(\pm n^{β}) = 0, \forall n \geq 0$ must vanish identically, complementing…

math.CA2019★ 8 cited

Weak differentiability for fractional maximal functions of general $L^{p}$ functions on domains

João P. G. Ramos, Olli Saari, Julian Weigt

Let $Ω \subset R^{n}$ be bounded a domain. We prove under certain structural assumptions that the fractional maximal operator relative to $Ω$ maps $L^{p} (Ω) \to W^{1, p} (Ω)$ …

math.CA2019

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…

math.CA2019

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…

Fourier uniqueness pairs of powers of integers

Weak differentiability for fractional maximal functions of general Lp functions on domains

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals

Low-dimensional maximal restriction principles for the Fourier transform

Weak differentiability for fractional maximal functions of general $L^{p}$ functions on domains