Shukun Wu

collaborators

2 papers

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.PR2024

Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in $C^{1, I^^{2}}$ open sets

Renming Song, Peixue Wu, Shukun Wu

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

Kakeya sets and dimension compression in compact Lie groups

Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in C1,I^2 open sets

Heat kernel estimates for regional fractional Laplacians with multi-singular critical potentials in $C^{1, I^^{2}}$ open sets