Totally real discs in non-pseudoconvex boundaries

Egmont Porten Humboldt-Universität zu Berlin, Rudower Chaussee 25, Berlin, Deutschland

TBD mathscidoc:1701.332998

Arkiv for Matematik, 41, (1), 133-150, 2001.10
Let$D$be a relatively compact domain in$C$^{2}with smooth connected boundary ∂$D$. A compact set$K⊂∂D$is called removable if any continuous CR function defined on ∂$D/K$admits a holomorphic extension to$D$. If$D$is strictly pseudoconvex, a theorem of B. Jöricke states that any compact$K$contained in a smooth totally real disc$S⊂∂D$is removable. In the present article we show that this theorem is true without any assumption on pseudoconvexity.
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@inproceedings{egmont2001totally,
  title={Totally real discs in non-pseudoconvex boundaries},
  author={Egmont Porten},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203606559418807},
  booktitle={Arkiv for Matematik},
  volume={41},
  number={1},
  pages={133-150},
  year={2001},
}
Egmont Porten. Totally real discs in non-pseudoconvex boundaries. 2001. Vol. 41. In Arkiv for Matematik. pp.133-150. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203606559418807.
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