Continuity of the relative extremal function on analytic varieties in ℂⁿ

• Autorzy: Frank Wikström
• Języki publikacji: EN

Abstrakty

EN

Let V be an analytic variety in a domain Ω ⊂ ℂⁿ and let K ⊂ ⊂ V be a closed subset. By studying Jensen measures for certain classes of plurisubharmonic functions on V, we prove that the relative extremal function $ω_K$ is continuous on V if Ω is hyperconvex and K is regular.

Kategorie tematyczne

• 32U15: General pluripotential theory
• 32B15: Analytic subsets of affine space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 86
• Numer: 3
• Strony: 219-225

Daty

wydano

2005

Twórcy

autor

Frank Wikström

• Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043, U.S.A.
• Department of Mathematics, Mid Sweden University, 851 70 Sundsvall, Sweden

Identyfikatory

DOI

10.4064/ap86-3-2