Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

The Dirichlet problem for maximal plurisubharmonic functions on analytic varieties in C^n

Wikström, Frank LU orcid (2009) In International Journal of Mathematics 20(4). p.521-528
Abstract
Let Ω be a B-regular domain in ℂn and let V be a locally irreducible analytic variety in Ω. Given a continuous function , we prove that there is a unique maximal plurisubharmonic function u on V with boundary values given by ϕ and furthermore that u is continuous on .
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
analytic varieties, Maximal plurisubharmonic functions, Jensen measures
in
International Journal of Mathematics
volume
20
issue
4
pages
521 - 528
publisher
World Scientific Publishing
external identifiers
  • scopus:65249166483
ISSN
0129-167X
DOI
10.1142/S0129167X09005376
language
English
LU publication?
yes
id
b9f09510-b74a-417a-859d-2eb972a1ddd0 (old id 1314629)
date added to LUP
2016-04-01 12:27:49
date last changed
2025-10-14 11:00:08
@article{b9f09510-b74a-417a-859d-2eb972a1ddd0,
  abstract     = {{Let Ω be a B-regular domain in ℂn and let V be a locally irreducible analytic variety in Ω. Given a continuous function , we prove that there is a unique maximal plurisubharmonic function u on V with boundary values given by ϕ and furthermore that u is continuous on .}},
  author       = {{Wikström, Frank}},
  issn         = {{0129-167X}},
  keywords     = {{analytic varieties; Maximal plurisubharmonic functions; Jensen measures}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{521--528}},
  publisher    = {{World Scientific Publishing}},
  series       = {{International Journal of Mathematics}},
  title        = {{The Dirichlet problem for maximal plurisubharmonic functions on analytic varieties in C^n}},
  url          = {{http://dx.doi.org/10.1142/S0129167X09005376}},
  doi          = {{10.1142/S0129167X09005376}},
  volume       = {{20}},
  year         = {{2009}},
}