2 papers
math.CV2023
Bergman functions on weakly uniformly perfect domains
Yuanpu Xiong, Zhiyuan Zheng
We contruct two classes of Zalcman-type domains, on which the Bergman distance functions have certain pre-described boundary behaviors. Such examples also lead to generalizations o…
math.CV2022
Log-hyperconvexity index and Bergman kernel
Bo-Yong Chen, Zhiyuan Zheng
We obtain a quantitative estimate of Bergman distance when is a bounded domain with log-hyperconvexity index , as we…