5 citations · 7 across the 4 of their papers we have counts for
5 papers
On the classification of normal Stein spaces and finite ball quotients with Bergman-Einstein metrics
Peter Ebenfelt, Ming Xiao, Hang Xu
In this paper, we study the Bergman metric of a finite ball quotient , where is a finite, fixed point free, abelian group. W…
The Dirichlet principle for the complex -Hessian functional
Yi Wang, Hang Xu
We study the variational structure of the complex -Hessian equation on bounded domain with boundary . We prove that the Dirichlet problem $σ…
Algebraicity of the Bergman Kernel
Peter Ebenfelt, Ming Xiao, Hang Xu
Our main result introduces a new way to characterize two-dimensional finite ball quotients by algebraicity of their Bergman kernels. This characterization is particular to dimensio…
Off-diagonal asymptotic properties of Bergman kernels associated to analytic Kähler potentials
Hamid Hezari, Zhiqin Lu, Hang Xu
We prove a new off-diagonal asymptotic of the Bergman kernels associated to tensor powers of a positive line bundle on a compact Kähler manifold. We show that if the Kähler potenti…
On Instability of the Nikodym Maximal Function bounds over Riemannian Manifolds
Christopher D. Sogge, Yakun Xi, Hang Xu
We show that, for odd , the bounds of Sogge and Xi for the Nikodym maximal function over manifolds of constant sectional curvature, are unstable with respect t…