miun.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Partial harmonicity of continuous maximal plurisubharmonic functions
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
2002 (English)In: Complex Variables and Elliptic Equations, ISSN 1747-6933, Vol. 47, no 1, 73-79 p.Article in journal (Refereed) Published
Abstract [en]

If $u$ is a sufficiently smooth maximal plurisubharmonic function such that the complex Hessian of $u$ has constant rank, it is known that there exists a foliation by complex manifolds, such that $u$ is harmonic along the leaves of the foliation. In this paper, we show a partial analogue of this result for maximal plurisubharmonic functions that are merely continuous, without the assumption on the complex Hessian. In this setting, we cannot expect a foliation by complex manifolds, but we prove the existence of positive currents of bidimension $(1,1)$ such that the function is harmonic along the currents.

Place, publisher, year, edition, pages
2002. Vol. 47, no 1, 73-79 p.
Keyword [en]
maximal plurisubharmonic functions, foliations
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-4055DOI: 10.1080/02781070290003173Local ID: 4544OAI: oai:DiVA.org:miun-4055DiVA: diva2:29087
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2011-01-10Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Wikström, Frank
By organisation
Department of Engineering, Physics and Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 25 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf