Weak lineal convexity

• Autorzy: Christer O. Kiselman
• Języki publikacji: EN

Abstrakty

EN

A bounded open set with boundary of class C¹ which is locally weakly lineally convex is weakly lineally convex, but, as shown by Yuriĭ Zelinskiĭ, this is not true for unbounded domains. The purpose here is to construct explicit examples, Hartogs domains, showing this. Their boundary can have regularity $C^{1,1}$ or $C^∞$.
Obstructions to constructing smoothly bounded domains with certain homogeneity properties will be discussed.

Kategorie tematyczne

• 32A07: Special domains (Reinhardt, Hartogs, circular, tube)
• 32F17: Other notions of convexity
• 32T05: Domains of holomorphy
• 06A06: Partial order, general

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2015
• Tom: 107
• Numer: 1
• Strony: 159-174

Daty

wydano

2015

Twórcy

autor

Christer O. Kiselman

• Uppsala University, Department of Information Technology, P. O. Box 337, SE-751 05 Uppsala

Identyfikatory

DOI

10.4064/bc107-0-11