A note on maximal plurifinely plurisubharmonic functions
Volume 120 / 2017
Annales Polonici Mathematici 120 (2017), 217-225
MSC: Primary 32U05, 32U15; Secondary 31C10, 31C40.
DOI: 10.4064/ap170723-18-11
Published online: 7 December 2017
Abstract
We improve some known results on plurifinely locally maximal plurifinely plurisubharmonic functions. We prove in particular that any locally bounded plurifinely locally maximal plurifinely plurisubharmonic function is maximal, and that any finite plurisubharmonic function on an open subset of ${\mathbb C}^n$ is maximal if and only if it is plurifinely locally maximal.
