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Arkiv för Matematik

, Volume 41, Issue 1, pp 133–150 | Cite as

Totally real discs in non-pseudoconvex boundaries

  • Egmont Porten
Article

Abstract

LetD be a relatively compact domain inC2 with smooth connected boundary ∂D. A compact setK⊂∂D is called removable if any continuous CR function defined on ∂D/K admits a holomorphic extension toD. IfD is strictly pseudoconvex, a theorem of B. Jöricke states that any compactK contained in a smooth totally real discS⊂∂D is removable. In the present article we show that this theorem is true without any assumption on pseudoconvexity.

Keywords

Present Article Compact Domain Holomorphic Extension Connected Boundary Real Disc 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Institut Mittag-Leffler 2003

Authors and Affiliations

  • Egmont Porten
    • 1
  1. 1.Humboldt-Universität zu BerlinBerlinDeutschland

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