Shukun Wu

activity

20192022

most citedOn the Bochner-Riesz operator in

R^{3}

5 citations · 6 across the 5 of their papers we have counts for

collaborators

7 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.CA2022

Square function estimates for conical regions

Shengwen Gan, Shukun Wu

We prove square function estimates for certain conical regions. Specifically, let ${Δ_{j}}$ be regions of the unit sphere $S^{n - 1}$ and let $S_{j} f$ be the smooth Fourier r…

math.CA2021★ 1 cited

New bounds for Stein's square functions in higher dimensions

Shengwen Gan, Changkeun Oh, Shukun Wu

We improve the $L^{p} (R^{n})$ bounds on Stein's square function to the best-known range of the Fourier restriction problem when $n \geq 4$ . Applications including certain local…

math.CA2021

New bounds for Stein's square function in $R^{3}$

Shengwen Gan, Yifan Jing, Shukun Wu

We prove new $L^{p} (R^{3})$ bounds on Stein's square function for $p \geq 3.25$ . As an application, it improves the maximal Bochner-Riesz conjecture to the same range of $p$ .

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★ 5 cited

On the Bochner-Riesz operator in $R^{3}$

Shukun Wu

We improve the Bochner-Riesz conjecture in $R^{3}$ to $max {p, p / (p - 1)} \geq 3.25$ .