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Totally real discs in non-pseudoconvex boundaries

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Arkiv för Matematik

Abstract

LetD be a relatively compact domain inC 2 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.

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  1. Humboldt-Universität zu Berlin, Rudower Chaussee 25, DE-12489, Berlin, Deutschland

    Egmont Porten

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  1. Egmont Porten
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Porten, E. Totally real discs in non-pseudoconvex boundaries. Ark. Mat. 41, 133–150 (2003). https://doi.org/10.1007/BF02384572

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  • DOI: https://doi.org/10.1007/BF02384572

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