Regularity of certain sets in ℂⁿ

• Autorzy: Nguyen Quang Dieu
• Języki publikacji: EN

Abstrakty

EN

A subset K of ℂⁿ is said to be regular in the sense of pluripotential theory if the pluricomplex Green function (or Siciak extremal function) $V_K$ is continuous in ℂⁿ. We show that K is regular if the intersections of K with sufficiently many complex lines are regular (as subsets of ℂ). A complete characterization of regularity for Reinhardt sets is also given.

Kategorie tematyczne

• 32U15: General pluripotential theory
• 32U35: Pluricomplex Green functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 82
• Numer: 3
• Strony: 219-232

Daty

wydano

2003

Twórcy

autor

Nguyen Quang Dieu

• Department of Mathematics, University of Education of Hanoi (Dai Hoc Su Pham Hanoi), Cau Giay, Tu Liem, Hanoi, Vietnam

Identyfikatory

DOI

10.4064/ap82-3-3