José Madrid

activity

20172026

most citedPositive and Negative Square Energies of Graphs

4 citations · 11 across the 21 of their papers we have counts for

collaborators

Showing 2026 · math.CAShow all

6 papers · 2 filters

math.CA2026

Sharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distribution

Chandan Biswas, Emanuel Carneiro, Taryn C. Flock +4

We identify the optimal constant and describe all maximizers for the Fourier endpoint extension inequality associated with the moment curve over finite fields. This confirms a conj…

math.CA2026

The norm of the centered Hardy--Littlewood maximal operator

José Madrid

We determine the exact $L^{p} (R)$ norm of the centered Hardy--Littlewood maximal operator for every $1 < p < \infty$ , proving that it equals $p / (p - 1)$ . This settles the sharp st…

math.CA2026

Sharp higher order regularity of discrete maximal functions

Sung-Yi Liao, José Madrid, Eyvindur Palsson +1

We derive sharp $ℓ^{p} (Z)$ bounds for the $k$ th derivative of the discrete uncentered maximal operator applied to characteristic functions $f : Z \to {0, 1}$ in the…

math.CA2026

Almost-Orthogonality in Lp Spaces: A Case Study with Grok

Ziang Chen, Jaume de Dios Pont, Paata Ivanisvili +2

Carbery proposed the following sharpened form of triangle inequality for many functions: for any $p \geq 2$ and any finite sequence $(f_{j})_{j} \subset L^{p}$ we have \[ \Big\|\sum_j f_j\B…

math.CA2026

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 $f \in ℓ^{2} (Z)$ when we consider its convolution with suitable kernels $u$ . The measurement…

math.CA2026

Sharp variational inequalities for the Hardy-Littlewood maximal operator on finite undirected graphs

Cristian González-Riquelme, Vjekoslav Kovač, José Madrid

We study sharp $p$ -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…