“…Therefore, it makes sense not only to ask for which domains Ω such an approximation is possible, but to ask for a characterization of those plurisubharmonic functions u that can be monotonically approximated from outside. According to the results by [5], [6], [9], [15] and the third author, this is possible if the domain Ω has the F -approximation property and u belongs to the Cegrell's classes in Ω.…”