83 citations · 1k across the 45 of their papers we have counts for
6 papers · 1 filter
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…
Derivative bounds for fractional maximal functions
Emanuel Carneiro, José Madrid
In this paper we study the regularity properties of fractional maximal operators acting on -functions. We establish new bounds for the derivative of the fractional maximal func…
A sharp trilinear inequality related to Fourier restriction on the circle
Emanuel Carneiro, Damiano Foschi, Diogo Oliveira e Silva +1
In this paper we prove a sharp trilinear inequality which is motivated by a program to obtain the sharp form of the Tomas-Stein adjoint restriction inequality on the ci…
Extremal functions in de Branges and Euclidean spaces II
Emanuel Carneiro, Friedrich Littmann
This paper presents the Gaussian subordination framework to generate optimal one-sided approximations to multidimensional real-valued functions by functions of prescribed exponenti…
On the argument of -functions
Emanuel Carneiro, Renan Finder
For in a large class of -functions, assuming the generalized Riemann hypothesis, we show an explicit bound for the function $S_1(t,π)=\frac{1}π\int_{1/2}^\infty\log…
A note on the zeros of zeta and -functions
Emanuel Carneiro, Vorrapan Chandee, Micah B. Milinovich
Let denote the argument of the Riemann zeta-function at the point . Assuming the Riemann hypothesis, we give a new and simple proof of the sharpest known bou…