The Dirichlet problem for maximal plurisubharmonic functions on analytic varieties in C^n
(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:
https://lup.lub.lu.se/record/1314629
- author
- Wikström, Frank
LU
- organization
- publishing date
- 2009
- 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
- 2024-10-09 11:19:27
@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}}, }