Kevin Ren

most citedWeighted refined decoupling estimates and application to Falconer distance set problem

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2024

Sobolev extension in a simple case

Marjorie Drake, Charles Fefferman, Kevin Ren +1

In this paper, we establish the existence of a bounded, linear extension operator $T : L^{2, p} (E) \to L^{2, p} (R^{2})$ when $1 < p < 2$ and $E$ is a finite subset of $\mathbb{R}^2…

math.CA2023★ 1 cited

Weighted refined decoupling estimates and application to Falconer distance set problem

Xiumin Du, Yumeng Ou, Kevin Ren +1

We prove some weighted refined decoupling estimates. As an application, we give an alternative proof of the following result on Falconer's distance set problem by the authors in a…

math.CA2023★ 1 cited

Discretized Radial Projections in $R^{d}$

Kevin Ren

We generalize a Furstenberg-type result of Orponen-Shmerkin to higher dimensions, leading to an $ε$ -improvement in Kaufman's projection theorem for hyperplanes and an unconditional…

Sobolev extension in a simple case

Weighted refined decoupling estimates and application to Falconer distance set problem

Discretized Radial Projections in Rd

Discretized Radial Projections in $R^{d}$