Proceedings of the American Mathematical Society

Author(s): Roman Dwilewicz; Joël Merker
Journal: Proc. Amer. Math. Soc. 130 (2002), 1975-1980.
MSC (2000): Primary 32V25; Secondary 32V10, 32V15, 32D15
Posted: February 27, 2002
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Abstract: Let

be a compact, connected, $\mathcal{C}^2$ -smooth and globally minimal hypersurface

in $P_2(\mathbb{C})$ which divides the projective space into two connected parts $U^{+}$ and $U^{-}$ . We prove that there exists a side,

, 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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 32V25, 32V10, 32V15, 32D15

Roman Dwilewicz
Affiliation: Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, P.O. Box 137, 00-950 Warsaw, Poland
Email: rd@impan.gov.pl

Joël Merker
Affiliation: Laboratoire d'Analyse, Topologie et Probabilités, Centre de Mathématiques et Informatique, UMR 6632, 39 rue Joliot Curie, F-13453 Marseille Cedex 13, France
Email: merker@cmi.univ-mrs.fr

DOI: 10.1090/S0002-9939-02-06357-8
PII: S 0002-9939(02)06357-8
Keywords: Smooth hypersurfaces of the complex projective space, holomorphic extension of CR functions, jump formula, global minimality, one-sided neighborhood
Received by editor(s): December 13, 2000
Posted: February 27, 2002
Additional Notes: This research was partially supported by a grant of the Polish Committee for Scientific Research KBN 2 PO3A 044 15 and by a grant from the French-Polish program ``Polonium 1999''
Communicated by: Steven R. Bell
Copyright of article: Copyright 2002, American Mathematical Society

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