Order functions of plurisubharmonic functions

ÇELİK H. İ., Poletsky E.

STUDIA MATHEMATICA, vol.124, no.2, pp.161-171, 1997 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 124 Issue: 2
  • Publication Date: 1997
  • Journal Name: STUDIA MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.161-171
  • Marmara University Affiliated: Yes

Abstract

We consider the following problem: find on C-2 a plurisubharmonic function with a given order function. In particular, we prove that any positive ambiguous function on CP1 which is constant outside a polar set is the order function of a plurisubharmonic function.