Hong Wang

activity

20182022

most citedImproved decoupling for the parabola

7 citations · 11 across the 5 of their papers we have counts for

collaborators

11 papers

math.CA2022

An improved restriction estimate in $R^{3}$

Hong Wang, Shukun Wu

We improve the $L^{p} \to L^{p}$ restriction estimate in $R^{3}$ to the range $p > 3 + 3/14$ , based on some Kakeya type incidence estimates and the refined decoupling theor…

math.CA2021

The Bochner-Riesz problem: an old approach revisited

Shaoming Guo, Changkeun Oh, Hong Wang +2

We show that the recent techniques developed to study the Fourier restriction problem apply equally well to the Bochner-Riesz problem. This is achieved via applying a pseudo-confor…

math.CA2020★ 7 cited

Improved decoupling for the parabola

Larry Guth, Dominique Maldague, Hong Wang

We prove an $(l^{2}, l^{6})$ decoupling inequality for the parabola with constant $(lo g R)^{c}$ . In the appendix, we present an application to the six-order correlation of the integer s…

math.CA2020

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 $E \subset R^{d}$ has Hausdorff dimension larger than $\frac{d}{2} + \frac{1}{4}$ , where $d \geq 4$ is an even integer, then the distance set of $E$ …

math.AP2019★ 4 cited

2D-Defocusing Nonlinear Schrödinger Equation with Random Data on Irrational Tori

Chenjie Fan, Yumeng Ou, Gigliola Staffilani +1

We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schrödinger equation in 2D on a square torus, and we prove the equivalent…

math.CA2019

A sharp square function estimate for the cone in $R^{3}$

Larry Guth, Hong Wang, Ruixiang Zhang

We prove a sharp square function estimate for the cone in $R^{3}$ and consequently the local smoothing conjecture for the wave equation in $2 + 1$ dimensions.

An improved restriction estimate in R3