5 papers
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…
Maximizers of the Fourier extension inequality for cones in finite fields
Cristian González-Riquelme, Tolibjon Ismoilov
Sharp Fourier restriction theory and finite field extension theory have both been topics of interest in the last decades. Very recently, in \cite{GonzalezOliveira}, the research in…
Sharp Poincare-Wirtinger inequalities on complete graphs
Cristian González-Riquelme, José Madrid
Let be the complete graph with vertices (here and denote the set of vertices and edges of respectively). We find the optimal value ${\bf{C}}_{n,…
Sharp extension inequalities on finite fields
Cristian González-Riquelme, Diogo Oliveira e Silva
Sharp restriction theory and the finite field extension problem have both received a great deal of attention in the last two decades, but so far they have not intersected. In this…
Sharp embeddings between weighted Paley-Wiener spaces
Emanuel Carneiro, Cristian González-Riquelme, Lucas Oliveira +4
In this paper we address the problem of estimating the operator norm of the embeddings between multidimensional weighted Paley-Wiener spaces. These can be equivalently thought as F…