Jensen measures and boundary values of plurisubharmonic functions
Author
Summary, in English
We study different classes of Jensen measures for plurisubharmonic functions, in particular the relation between Jensen measures for continuous functions and Jensen measures for upper bounded functions. We prove an approximation theorem for plurisubharmonic functions inB-regular domain. This theorem implies that the two classes of Jensen measures coincide inB-regular domains. Conversely we show that if Jensen measures for continuous functions are the same as Jensen measures for upper bounded functions and the domain is hyperconvex, the domain satisfies the same approximation theorem as above.
The paper also contains a characterisation in terms of Jensen measures of those continuous functions that are boundary values of a continuous plurisubharmonic function.
The paper also contains a characterisation in terms of Jensen measures of those continuous functions that are boundary values of a continuous plurisubharmonic function.
Publishing year
2001
Language
English
Pages
181-200
Publication/Series
Arkiv för Matematik
Volume
39
Issue
1
Document type
Journal article
Publisher
Springer
Topic
- Mathematics
- Mathematical Analysis
Status
Published
ISBN/ISSN/Other
- ISSN: 0004-2080