convex domains with C2 boundary

We show that every bounded -convex domain with C 2 boundary can be exhausted by strictly -convex domains with C ∞ boundary. There is an application concerning the relation between the Kobayashi and Carathéodory metrics.

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Bibliographic Details
Published inComplex variables and elliptic equations Vol. 51; no. 4; pp. 303 - 312
Main Author Jacquet, David
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.04.2006
Subjects
2000 Mathematics Subject Classifications
Approximation
Carathéodory metric
convex
Invariant metrics
Kobayashi metric
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Summary:We show that every bounded -convex domain with C 2 boundary can be exhausted by strictly -convex domains with C ∞ boundary. There is an application concerning the relation between the Kobayashi and Carathéodory metrics.
ISSN:1747-6933
1747-6941
DOI:10.1080/17476930600585738