13 citations · 15 across the 10 of their papers we have counts for
11 papers
Sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities
Wei Dai, Jingze Fu, An Zhang
In this paper, we proved the sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities with partial (stronger) singular weight and non-radial extremal functions. Ou…
Strichartz estimates for orthonormal systems on compact manifolds
Xing Wang, An Zhang, Cheng Zhang
We establish new Strichartz estimates for orthonormal systems on compact Riemannian manifolds in the case of wave, Klein-Gordon and fractional Schrödinger equations. Our results ge…
Improved Spectral Cluster Bounds for Orthonormal Systems
Tianyi Ren, An Zhang
We improve Frank-Sabin's work concerning the spectral cluster bounds for orthonormal systems at , on the flat torus and spaces of nonpositive sectional curvature, by shri…
Modular representations of strange classical Lie superalgebras and the first super Kac-Weisfeiler conjecture
Ye Ren, Bin Shu, Fanlei Yang +1
Suppose \textbf{k}$ of charact…
Parabolic methods for ultraspherical interpolation inequalities
Jean Dolbeault, An Zhang
The carré du champ method is a powerful technique for proving interpolation inequalities with explicit constants in presence of a non-trivial metric on a manifold. The method appli…
Flows and functional inequalities for fractional operators
Jean Dolbeault, An Zhang
This paper collects results concerning global rates and large time asymptotics of a fractional fast diffusion on the Euclidean space, which is deeply related with a family of fract…
Optimal functional inequalities for fractional operators on the sphere and applications
Jean Dolbeault, An Zhang
This paper is devoted to optimal functional inequalities for fractional Laplace operators on the sphere. Based on spectral properties, subcritical inequalities are established. The…
Restriction Theorems On Métiver Groups Associated to Joint Functional Calculus
Heping Liu, An Zhang
In this article, we get the spectral solution of operators , the joint functional calculus of the sub-Laplacian and Laplacian o…
Remainder Terms for Several Inequalities on Some Groups of Heisenberg-type
Heping Liu, An Zhang
We give some estimates of the remainder terms for several conformally-invariant Sobolev-type inequalities on the Heisenberg group, in analogy with the Euclidean case. By considerin…
Sharp Hardy-Littlewood-Sobolev Inequalities on Octonionic Heisenberg Group
Michael Christ, Heping Liu, An Zhang
This paper is a second one following our work [CLZ13] in series, considering sharp Hardy- Littlewood-Sobolev inequalities on groups of Heisenberg type. The first important breakthr…
Sharp Hardy-Littlewood-Sobolev Inequalities on Quaternionic Heisenberg Groups
Michael Christ, Heping Liu, An Zhang
In this paper, we got several sharp Hardy-Littlewood-Sobolev-type inequalities on quaternionic Heisenberg groups (a general form due to Folland and Stein [FS74]), using the symmetr…