Tobias Harz: On smoothing of bounded plurisubharmonic functions
Title: On smoothing of bounded plurisubharmonic functions.
Abstract: I will present the following result concerning smoothing of bounded (from above) plurisubharmonic functions on unbounded domains in C^n, n \ge 2.
There exist a pseudoconvex domain \Omega \subset C^2 and a nonempty open set U \subset \Omega such that the following assertions hold true:
1. There exists a function \varphi in PSH(\Omega) \cap C^0(\Omega) such that \varphi < 0 on \Omega and \varphi is strictly plurisubharmonic on U.
2. Every function \varphi in PSH(\Omega) \cap C^1(\Omega) such that varphi < 0 on Omega is constant on U.
Seminar bo v predavalnici 2.03 na Jadranski 21. Vljudno vabljeni!
Vodji seminarja
Franc Forstnerič in Barbara Drinovec Drnovšek
