Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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Cone of Maximal Subextensions of the Plurisubharmonic Functions

Le Mau Hai , Pham Hoang Hiep , Trinh Tung

pp. 83-97

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.