Continuity of plurisubharmonic envelopes

• Autorzy: Nihat Gokhan Gogus
• Języki publikacji: EN

Abstrakty

EN

Let D be a domain in ℂⁿ. The plurisubharmonic envelope of a function φ ∈ C(D̅) is the supremum of all plurisubharmonic functions which are not greater than φ on D. A bounded domain D is called c-regular if the envelope of every function φ ∈ C(D̅) is continuous on D and extends continuously to D̅. The purpose of this paper is to give a complete characterization of c-regular domains in terms of Jensen measures.

Kategorie tematyczne

• 32U15: General pluripotential theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 86
• Numer: 3
• Strony: 197-217

Daty

wydano

2005

Twórcy

autor

Nihat Gokhan Gogus

• Department of Mathematics, 215 Carnegie Hall, Syracuse University, Syracuse, NY 13244, U.S.A.

Identyfikatory

DOI

10.4064/ap86-3-1