A plurisubharmonic Hopf lemma for domains with cusp conditions
Volume 129 / 2022
Annales Polonici Mathematici 129 (2022), 1-15
MSC: 32U10.
DOI: 10.4064/ap220122-3-5
Published online: 16 August 2022
Abstract
We obtain a plurisubharmonic 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 a certain global growth estimate on a pseudoconvex domain with Hölder boundary.
