4 citations · 5 across the 8 of their papers we have counts for
9 papers
Sharp endpoint multilinear estimates for oscillatory integrals and spectral clusters
Shengwen Gan, Cheng Zhang, Zhifei Zhu
We prove sharp -linear estimates for Carleson--Sjölin oscillatory integral operators with arbitrary separated frequency scales for all and . The…
Restriction estimates for toral eigenfunctions and lattice points in spherical regions
Cheng Zhang, Zhifei Zhu
We establish new restriction estimates for toral eigenfunctions. These estimates are sharp in certain cases, and thus prove a conjecture of Huang-Zhang for smooth submanifold…
Maximal growth of the Stein-Wainger oscillatory integral
Cheng Zhang, Zhifei Zhu
We determine the optimal growth of the Stein--Wainger oscillatory integral for every Denjoy--Carleman class defined by a positive log-convex sequence. Quasianalyticity is equivalen…
Homological Filling and Minimal Varifolds in Four-Dimensional Einstein Manifolds
Wenjie Fu, Zhifei Zhu
We study the smallest area of a 2-dimensional stationary integral varifold in a closed Einstein 4-manifold with $Ric_g = λg, |λ|\leq 3, Vol(M,g)\geq v>0, diam(M,…
Length of closed geodesics on Riemannian manifolds with good covers
Zhifei Zhu
In this article, we prove a generalization of our previous result in [12]. In particular, we show that for an -dimensional, simply connected Riemannian manifold with diameter $D…
Constraint of -moments calculated with QCD sum rules on the pion distribution amplitude models
Tao Zhong, Zhi-Hao Zhu, Hai-Bing Fu
So far, the behavior of the pionic leading-twist distribution amplitude (DA) which is universal physical quantity and enters the high-energy processes involving…
An upper bound for the smallest area of a minimal surface in manifolds of dimension four
Nan Wu, Zhifei Zhu
In this paper, we prove that for any closed 4-dimensional Riemannian manifold with trivial first homology group, if the Ricci curvature , the diameter $diam(M)\leq…
Length of a shortest closed geodesic in manifolds of dimension four
Nan Wu, Zhifei Zhu
In this paper, we show that for any closed 4-dimensional simply-connected Riemannian manifold with Ricci curvature , volume , and diameter ,…
Subdividing Three-Dimensional Riemannian Disks
Parker Glynn-Adey, Zhifei Zhu
P. Papasoglu asked in [Pap13] whether for any Riemannian 3-disk with diameter , boundary area and volume , there exists a homotopy contracting the boundary to a…