83 citations · 156 across the 27 of their papers we have counts for
6 papers · 1 filter
Decoupling for fractal subsets of the parabola
Alan Chang, Jaume de Dios Pont, Rachel Greenfeld +3
We consider decoupling for a fractal subset of the parabola. We reduce studying decoupling for a fractal subset on the parabola to stu…
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…
Sunrise strategy for the continuity of maximal operators
Emanuel Carneiro, Cristian González-Riquelme, José Madrid
In this paper we address the -continuity of several maximal operators at the gradient level. A key idea in our global strategy is the decomposition of a maximal operator,…
Sharp Inequalities for maximal operators on finite graphs
Cristian González-Riquelme, José Madrid
Let be a finite graph and be the centered Hardy-Littlewood maximal operator defined there. We find the optimal value such that the inequality $$\text…
On optimal autocorrelation inequalities on the real line
José Madrid, João P. G. Ramos
We study autocorrelation inequalities, in the spirit of Barnard and Steinerberger's work. In particular, we obtain improvements on the sharp constants in some of the inequalities p…
New bounds for discrete lacunary spherical averages
Theresa C. Anderson, Jose Madrid
We show that the discrete lacunary spherical maximal function is bounded on for all . Our range is new in dimension 4, where it appears that…