From the 1 of 7 linked papers with an AI index.
7 papers
Convex order, log-convexity and moments of averages of random variables
Felipe Gonçalves, José Madrid, Antonio Pedro Ramos
We establish a convex order comparison for products of averages of exchangeable nonnegative random variables. As a consequence, we solve a conjecture of Lamkin and Tkocz (2022) on…
Sharp higher order regularity of discrete maximal functions
Sung-Yi Liao, José Madrid, Eyvindur Palsson +1
The paper obtains sharp ℓ^p(Z) bounds for the first and second discrete derivatives of the uncentered Hardy‑Littlewood maximal operator applied to binary functions on the integers,…
Carbery's inequality in the Schatten--von Neumann classes
Ziang Chen, Paata Ivanisvili, Jose Madrid +1
Carbery posed a question of sharpened triangle inequalities for families of operators in the Schatten--von Neumann classes , . He established a weaker form of the des…
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 and any finite sequence we have \[ \Big\|\sum_j f_j\B…
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 KovaÄ, 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…