83 citations · 1k across the 45 of their papers we have counts for
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On the variation of maximal operators of convolution type II
Emanuel Carneiro, Renan Finder, Mateus Sousa
In this paper we establish that several maximal operators of convolution type, associated to elliptic and parabolic equations, are variation-diminishing. Our study considers maxima…
On the variation of maximal operators of convolution type
Emanuel Carneiro, Benar F. Svaiter
In this paper we study the regularity properties of two maximal operators of convolution type: the heat flow maximal operator (associated to the Gauss kernel) and the Poisson maxim…
Convolution inequalities for the Boltzmann collision operator
Ricardo J. Alonso, Emanuel Carneiro, Irene M. Gamba
We study integrability properties of a general version of the Boltzmann collision operator for hard and soft potentials in -dimensions. A reformulation of the collisional integr…
Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform
Emanuel Carneiro, Ricardo J. Alonso
We extend the -theory of the Boltzmann collision operator by using classical techniques based in the Carleman representation and Fourier analysis, allied to new ideas that exp…
A sharp inequality for the Strichartz norm
Emanuel Carneiro
Let $u:\R \times \R^n \to \C$ be the solution of the linear Schrödinger equation with initial data . In the first part of this paper we obtain a sharp…