112 citations · 316 across the 29 of their papers we have counts for
5 papers · 1 filter
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…
Commutators of multi-parameter flag singular integrals and applications
Xuan Thinh Duong, Ji Li, Yumeng Ou +2
We introduce the iterated commutator for the Riesz transforms in the multi-parameter flag setting, and prove the upper bound of this commutator with respect to the symbol in th…