Cone of Maximal Subextensions of the Plurisubharmonic Functions

Cone of Maximal Subextensions of the Plurisubharmonic Functions

In this note, we give some results on maximal subextensions of plurisubharmonic functions on hyperconvex domains in 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 surjecti...

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Veröffentlicht in:Acta mathematica vietnamica 2024, Vol.49 (1), p.83-97
Hauptverfasser: Hai, Le Mau, Hiep, Pham Hoang, Tung, Trinh
Format: Artikel
Sprache:eng
Schlagworte:
Harmonic functions
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this note, we give some results on maximal subextensions of plurisubharmonic functions on hyperconvex domains in 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.
ISSN:0251-4184
2315-4144
DOI:10.1007/s40306-023-00509-1