Resumen de On subextension of pluriharmonic and plurisubharmonic functions

Jonas Wiklund

• The problem of subextension of plurisubharmonic functions is considered. Recently it was shown by Cegrell�Zeriahi, that subextension is always possible for negative plurisubharmonic functions in the energy class F. In this paper we construct, for every hyperconvex domain Ù, a negative plurisubharmonic function in the class E which cannot be subextended. Given any pseudoconvex domain we construct a pluriharmonic function that cannot be subextended.