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On subextension of pluriharmonic and plurisubharmonic functions

Jonas Wiklund Graduate School of Mathematics, Nagoya University

TBD mathscidoc:1701.333072

Arkiv for Matematik, 44, (1), 182-190, 2004.11
The problem of$subextension$of plurisubharmonic functions is considered. Recently it was shown by Cegrell–Zeriahi, that subextension is always possible for negative plurisubharmonic functions in the energy class ℱ. In this paper we construct, for every hyperconvex domain Ω, a negative plurisubharmonic function in the class ℰ which cannot be subextended. Given any pseudoconvex domain we construct a pluriharmonic function that cannot be subextended.
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@inproceedings{jonas2004on,
  title={On subextension of pluriharmonic and plurisubharmonic functions},
  author={Jonas Wiklund},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203616142805881},
  booktitle={Arkiv for Matematik},
  volume={44},
  number={1},
  pages={182-190},
  year={2004},
}
Jonas Wiklund. On subextension of pluriharmonic and plurisubharmonic functions. 2004. Vol. 44. In Arkiv for Matematik. pp.182-190. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203616142805881.
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