Order functions of plurisubharmonic functions
Volume 124 / 1997
Studia Mathematica 124 (1997), 161-171
DOI: 10.4064/sm-124-2-161-171
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 $ℂℙ^1$ which is constant outside a polar set is the order function of a plurisubharmonic function.