2 citations · 3 across the 10 of their papers we have counts for
15 papers · 1 filter
The smoothest average and some extremal problems for polynomials
José Gaitán, Carlos Garzón, José Madrid
We study the problem of finding the "smoothest'' local average of a function when we consider its convolution with suitable kernels . The measurement…
Sharp variational inequalities for the Hardy-Littlewood maximal operator on finite undirected graphs
Cristian González-Riquelme, Vjekoslav Kovač, José Madrid
We study sharp -variational inequalities for the Hardy-Littlewood maximal operator on complete graphs, answering in the affirmative a question by Feng Liu and Qingying Xue. We a…
On suprema of convolutions on discrete cubes
José Gaitan, José Madrid
We find the optimal constant such that \begin{equation*} \|f_1*f_2*\dots*f_{k}\|_{\infty}\geq C\prod_{i=1}^{k}\|f_i\|_1 \end{equation*} for functions $f_i:\{0,1\}^d\to\mathbb{R…
On classical inequalities for autocorrelations and autoconvolutions
Jaume de Dios Pont, José Madrid
In this paper we study an autocorrelation inequality proposed by Barnard and Steinerberger. The study of these problems is motivated by a classical problem in additive combinatoric…
Continuity of the gradient of the fractional maximal operator on
David Beltran, Cristian González-Riquelme, José Madrid +1
We establish that the map is continuous from to , where , and $\mathca…
Sharp inequalities for maximal operators on finite graphs, II
Cristian González-Riquelme, José Madrid
Let be the centered Hardy-Littlewood maximal operator on a finite graph . We find when is the start graph () an…