On subextension and approximation of plurisubharmonic functions with given boundary values

• Autorzy: Hichame Amal
• Języki publikacji: EN

Abstrakty

EN

Our aim in this article is the study of subextension and approximation of plurisubharmonic functions in $𝓔_χ(Ω,H)$, the class of functions with finite χ-energy and given boundary values. We show that, under certain conditions, one can approximate any function in $𝓔_χ(Ω,H)$ by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.

Kategorie tematyczne

• 32U15: General pluripotential theory
• 32W20: Complex Monge-Amp\`ere operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 3
• Strony: 247-258

Daty

wydano

2014

Twórcy

autor

Hichame Amal

• Département de Mathématiques, C.R.M.E.F., rue Abdelaziz Boutaleb 23, Mimousa Kénitra, Maroc

Identyfikatory

DOI

10.4064/ap110-3-3