Maximal Plurifinely Plurisubharmonic Functions

Authors
  • M. El Kadiri
  • I.M. Smit
Publication date 2014
Journal Potential Analysis
Volume | Issue number 41 | 4
Pages (from-to) 1329-1345
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract 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.
Document type Article
Language English
Published at
https://doi.org/10.1007/s11118-014-9421-x (Final published version)
Permalink to this page
Back