Abstract
LetD be a relatively compact domain in C2 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.
Citation
Egmont Porten. "Totally real discs in non-pseudoconvex boundaries." Ark. Mat. 41 (1) 133 - 150, April 2003. https://doi.org/10.1007/BF02384572
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