José Madrid

activity

20242026

collaborators

3 papers

math.CA2026

On the frequency function of Hardy-Littlewood maximal functions

Carlos GarzÃ³n, JosÃ© Madrid

We study the frequency function (introduced by Temur) in both the discrete and continuous settings. More precisely, we extend the definition of the frequency function to the higher…

math.CA2025

Optimal Young's convolutions inequality and its reverse form on the hypercube

We establish sharp forms of Young's convolution inequality and its reverse on the discrete hypercube ${0, 1}^{d}$ in the diagonal case $p = q$ . As applications, we derive bounds for a…

math.CA2024

Sharp Poincare-Wirtinger inequalities on complete graphs

Let $K_{n} = (V, E)$ be the complete graph with $n \geq 3$ vertices (here $V$ and $E$ denote the set of vertices and edges of $K_{n}$ respectively). We find the optimal value ${\bf{C}}_{n,…