Shengwen Gan

collaborators

3 papers

math.CA2026

Sharp local smoothing estimates for curve averages

Shengwen Gan, Dominique Maldague, Changkeun Oh

We prove sharp local smoothing estimates for curve averages in all dimensions. As a corollary, we prove the sharp $L^{p}$ boundedness of the helical maximal operator in $\mathbb{R}^4…

math.AP2026

Sharp endpoint multilinear estimates for oscillatory integrals and spectral clusters

Shengwen Gan, Cheng Zhang, Zhifei Zhu

We prove sharp $k$ -linear $L^{p}$ estimates for Carleson--SjÃ¶lin oscillatory integral operators with arbitrary separated frequency scales for all $k \geq 2$ and $1 \leq p \leq \infty$ . Th…

math.CA2024

Small cap square function estimates

Shengwen Gan

We introduce small cap square function estimates for parabola and cone, and prove the sharp estimates. More precisely, we study the inequalities of form \[ \|f\|_p\le C_{Î±,p}(R) \…