2000 character limit reached
Maximal Plurifinely Plurisubharmonic functions
Published 3 Nov 2013 in math.CV | (1311.0513v2)
Abstract: The main purpose of this paper is to introduce and study the notion of plurifinely-maximal plurifinely plurisubharmonic functions, which extends the notion of maximal plurisubharmonic functions on a Euclidean domain to a plurifine domain of Cn in a natural way. Our main result is that a finite plurifinely plurisubharmonic function u on a plurifine domain U satisfies (ddc u)n=0 if and only if u is plurifinely-locally plurifinely-maximal outside some pluripolar set. In particular, a finite plurifinely-maximal plurisubharmonic function u satisfies (ddc u)n=0.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
