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arXiv · 2112.09480

A Psh Hopf Lemma for Domains with Cusp Conditions

Bo-Yong Chen·Yuanpu Xiong
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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.

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Bo-Yong Chen, Yuanpu Xiong. 2021-12-17. A Psh Hopf Lemma for Domains with Cusp Conditions. https://arxiv.org/abs/2112.09480

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