A Psh Hopf Lemma for Domains with Cusp Conditions
Complex Variables
2021-12-21 v2
Abstract
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 obtain a negative psh exhaustion function with certain global growth estimate on a pseudoconvex domain with H\"{o}lder boundary.
Keywords
Cite
@article{arxiv.2112.09480,
title = {A Psh Hopf Lemma for Domains with Cusp Conditions},
author = {Bo-Yong Chen and Yuanpu Xiong},
journal= {arXiv preprint arXiv:2112.09480},
year = {2021}
}