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Jensen measures and boundary values of plurisubharmonic functions

In English

Författare

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.

Publiceringsår

2001

Språk

Engelska

Sidor

181-200

Publikation/Tidskrift/Serie

Arkiv för Matematik

Volym

39

Issue

1

Dokumenttyp

Artikel i tidskrift

Förlag

Springer

Ämne

  • Mathematics
  • Mathematical Analysis

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0004-2080