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On the behavior of strictly plurisubharmonic functions near real hypersurfaces

Björn Ivarsson Institute of Mathematics, University of Bern

TBD mathscidoc:1701.333096

Arkiv for Matematik, 45, (1), 71-82, 2005.12
We describe the behavior of certain strictly plurisubharmonic functions near some real hypersurfaces in ℂ^{$n$},$n$≥3. Given a hypersurface we study continuous plurisubharmonic functions which are zero on the hypersurface and have Monge–Ampère mass greater than one in a one-sided neighborhood of the hypersurface. If we can find complex curves which have sufficiently high contact order with the hypersurface then the plurisubharmonic functions we study cannot be globally Lipschitz in the one-sided neighborhood.
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@inproceedings{björn2005on,
  title={On the behavior of strictly plurisubharmonic functions near real hypersurfaces},
  author={Björn Ivarsson},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203618870380905},
  booktitle={Arkiv for Matematik},
  volume={45},
  number={1},
  pages={71-82},
  year={2005},
}
Björn Ivarsson. On the behavior of strictly plurisubharmonic functions near real hypersurfaces. 2005. Vol. 45. In Arkiv for Matematik. pp.71-82. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203618870380905.
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