Shukun Wu

activity

20192026

most citedOn the Bochner-Riesz operator in

R^{3}

5 citations · 14 across the 14 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.CA2022

Kakeya sets from lines in $S L_{2}$

Nets Hawk Katz, Shukun Wu, Joshua Zahl

We prove that every Kakeya set in $R^{3}$ formed from lines of the form $(a, b, 0) + span (c, d, 1)$ with $a d - b c = 1$ must have Hausdorff dimension $3$ ; Kakeya sets…

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.PR2022★ 2 cited

Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in $C^{1, β}$ open sets

Renming Song, Peixue Wu, Shukun Wu

Let $D$ be an open set of $R^{d}$ , $α \in (0, 2)$ and let $L_{α}^{D}$ be the generator of the censored $α$ -stable process in $D$ . In this paper, we establish sharp two-…

Kakeya sets from lines in SL2​

An improved restriction estimate in R3

Square function estimates for conical regions

Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in C1,β open sets

Kakeya sets from lines in $S L_{2}$

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

Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in $C^{1, β}$ open sets