logo_acta

Acta Mathematica Vietnamica

Cone of Maximal Subextensions of the Plurisubharmonic Functions

icon-email Le Mau Hai , Pham Hoang Hiep , Trinh Tung

Abstract

In this note, we give some results on maximal subextensions of plurisubharmonic functions on hyperconvex domains in $\mathbb C^n$ and introduce the notion about cone of maximal subextensions of plurisubharmonic functions. Furthermore, we establish the invariant of this cone through proper holomorphic surjections.