Shukun Wu

collaborators

2 papers

math.CA2025

Weighted $L^{2}$ estimates with applications to $L^{p}$ problems

Shukun Wu

We establish some weighted $L^{2}$ estimates for the Fourier extension operator in $R^{2}$ and discuss several applications to $L^{p}$ problems. These include estimates for the…

math.CA2024

A Kakeya maximal estimate for regulus strips

Shukun Wu

We prove Kakeya-type estimates for regulus strips. As a result, we obtain another epsilon improvement over the Kakeya conjecture in $R^{3}$ , by showing that the regulus stri…

Weighted L2 estimates with applications to Lp problems

A Kakeya maximal estimate for regulus strips

Weighted $L^{2}$ estimates with applications to $L^{p}$ problems