Cheng Zhang

activity

20142026

most citedImproved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature

12 citations · 63 across the 29 of their papers we have counts for

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Showing 2026 · math.APShow all

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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--Sjölin oscillatory integral operators with arbitrary separated frequency scales for all $k \geq 2$ and $1 \leq p \leq \infty$ . The…

math.AP2026

Restriction estimates for toral eigenfunctions and lattice points in spherical regions

Cheng Zhang, Zhifei Zhu

We establish new $L^{2}$ restriction estimates for toral eigenfunctions. These estimates are sharp in certain cases, and thus prove a conjecture of Huang-Zhang for smooth submanifold…