On the Hartogs-Bochner Phenomenon for CR Functions in P2(ℂ)
Let be a compact, connected, -smooth and globally minimal hypersurface in which divides the projective space into two connected parts and . We prove that there exists a side, or , such that every continuous CR function on extends holomorphically to this side. Our proof of this theorem is a simplification of a result originally due to F. Sarkis.
R. Dwilewicz and J. Merker, "On the Hartogs-Bochner Phenomenon for CR Functions in P2(ℂ)," Proceedings of the American Mathematical Society, American Mathematical Society, Jan 2002.
The definitive version is available at https://doi.org/10.1090/S0002-9939-02-06357-8
Mathematics and Statistics
Keywords and Phrases
smooth hypersurfaces of the complex projective space; holomorphic extension of CR functions; jump formula; global minimality; one-sided neighborhood
International Standard Serial Number (ISSN)
Article - Journal
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