Shengwen Gan

activity

20242026

collaborators

3 papers

math.CA2026

Lebesgue measure of distance sets and $L^{2}$ ball inflation

Shengwen Gan, Bochen Liu, Shukun Wu

We give an alternative proof of the $5/4$ result of Guth-Iosevich-Ou-Wang on the Falconer distance conjecture: if a compact set $E$ in the plane has Hausdorff dimension $> 5/4$ , the…

math.AP2025

On local smoothing estimates for wave equations

Shengwen Gan, Danqing He, Xiaochun Li +1

We prove sharp local smoothing estimates for wave equations on compact Riemannian manifolds in $n + 1$ dimensions for odd $n$ and obtain improved estimates in even dimensions. This i…

math.CA2024

A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem

Shengwen Gan, Shukun Wu

We prove some weighted $L^{p} ℓ^{p}$ -decoupling estimates when $p = 2 n / (n - 1)$ . As an application, we give a result beyond the real interpolation exponents for the maximal Bochner-Riesz…

Lebesgue measure of distance sets and L2 ball inflation

On local smoothing estimates for wave equations

A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem

Lebesgue measure of distance sets and $L^{2}$ ball inflation