6 papers
Type problem, the first eigenvalue and Hardy inequalities
Gilles Carron, Bo-Yong Chen, Yuanpu Xiong
In this paper, we study the relationship between the type problem and the asymptotic behaviour of the first (Dirichlet) eigenvalues of ``balls'' on a comp…
Type problem and the first eigenvalue
Bo-Yong Chen, Yuanpu Xiong
In this paper, we study the relationship between the type problem and the asymptotic behavior of the first eigenvalues of ``balls'' on a complete Riemanni…
Minimal and Ohsawa-Takegoshi extensions
Yuanpu Xiong
We find a precise relationship between the minimal extensions in and Ohsawa-Takegoshi extension theorems. This relationship also gives another proof to the versio…
Equality between the Bergman metric and Carathéodory metric
Bo-Yong Chen, Yuanpu Xiong, Liyou Zhang
We present an equality between the Bergman metric and Carathéodry metric.
Some properties of the Bergman kernel and metric
Bo-Yong Chen, Yuanpu Xiong
The Bergman kernel is shown to be of for . An unexpected relation between the off-diagonal Bergman kernel and certain we…
A Psh Hopf Lemma for Domains with Cusp Conditions
Bo-Yong Chen, Yuanpu Xiong
We obtain a psh Hopf lemma for domains satisfying certain cusp conditions by using a sharp estimate for the Green function of a planar cusp along the axis. As an application, we ob…