15 citations · 27 across the 4 of their papers we have counts for
9 papers · 1 filter
An improved result for Falconer's distance set problem in even dimensions
Xiumin Du, Alex Iosevich, Yumeng Ou +2
We show that if compact set has Hausdorff dimension larger than , where is an even integer, then the distance set of …
Finite Point Configurations and the Regular Value Theorem in a Fractal setting
Yumeng Ou, Krystal Taylor
In this article, we study two problems concerning the size of the set of finite point configurations generated by a compact set . The first problem concerns…
Sparse domination and the strong maximal function
Alex Barron, Jose M. Conde-Alonso, Yumeng Ou +1
We study the problem of dominating the dyadic strong maximal function by -type sparse forms based on rectangles with sides parallel to the axes, and show that such dominati…
On Falconer's distance set problem in the plane
Larry Guth, Alex Iosevich, Yumeng Ou +1
If is a compact set of Hausdorff dimension greater than , we prove that there is a point so that the set of distances $\{ |x-y| \}_{y \in E}…
Endpoint sparse bounds for Walsh-Fourier multipliers of Marcinkiewicz type
Wei Chen, Amalia Culiuc, Francesco Di Plinio +2
We prove endpoint-type sparse bounds for Walsh-Fourier Marcinkiewicz multipliers and Littlewood-Paley square functions. These results are motivated by conjectures of Lerner in the…
Weighted restriction estimates and application to Falconer distance set problem
Xiumin Du, Larry Guth, Yumeng Ou +3
We prove some weighted Fourier restriction estimates using polynomial partitioning and refined Strichartz estimates. As application we obtain improved spherical average decay rates…