4 papers · 1 filter
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…
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…