Shukun Wu

activity

20192026

most citedOn the Bochner-Riesz operator in

R^{3}

5 citations · 6 across the 7 of their papers we have counts for

collaborators

Showing math.CAShow all

9 papers · 1 filter

math.CA2026

Near diagonal additive energy bound for points on algebraic surfaces

Yifan Jing, Shukun Wu

Let $F : R^{3} \to R$ be a polynomial that is irreducible over $R$ with $deg F \geq 2$ . We prove that, for any finite $X \subset Z (F)$ that does not concen…

math.CA2026

Kakeya sets and dimension compression in compact Lie groups

Yifan Jing, Shukun Wu

We study two Kakeya set problems in compact semisimple Lie groups. In the first, motivated by the group structure, a Kakeya set is required to contain a left coset of every closed…

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 $p$ .