M. El Kadiri
- Maximal Plurifinely Plurisubharmonic Functions
- Potential Analysis
- Volume | Issue number
- 41 | 4
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
The main purpose of this paper is to introduce and study the notion of -maximal F -plurisubharmonic functions, which extends the notion of maximal plurisubharmonic functions on a Euclidean domain to an -domain of ℂ n in a natural way. Our main result is that a finite -plurisubharmonic function u on a plurifine domain U satisfies (d d c u) n = 0 if and only if u is -locally -maximal outside some pluripolar set. In particular, a finite -maximal plurisubharmonic function u satisfies (d d c u) n = 0.
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