16 citations · 28 across the 22 of their papers we have counts for
4 papers · 1 filter
New bounds for Stein's square functions in higher dimensions
Shengwen Gan, Changkeun Oh, Shukun Wu
We improve the bounds on Stein's square function to the best-known range of the Fourier restriction problem when . Applications including certain local…
A note on local smoothing estimates for fractional Schrödinger equations
Shengwen Gan, Changkeun Oh, Shukun Wu
We improve local smoothing estimates for fractional Schrödinger equations for .
An incidence estimate and a Furstenberg type estimate for tubes in
Yuqiu Fu, Shengwen Gan, Kevin Ren
We study the -discretized Szemerédi-Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two problems assuming tubes satisfy some spacing condition. Fo…
New bounds for Stein's square function in
Shengwen Gan, Yifan Jing, Shukun Wu
We prove new bounds on Stein's square function for . As an application, it improves the maximal Bochner-Riesz conjecture to the same range of .