Stein compacts in Levi-flat hypersurfaces

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We explore connections between geometric properties of the Levi foliation of a Levi-flat hypersurface M and holomorphic convexity of compact sets in M, or bounded in part by M. Applications include extendability of Cauchy-Riemann functions, solvability of the dibar_b-equation, approximability of holomorphic and CR functions, and global regularity of the dibar-Neumann operator.
Final version, Trans. Amer. Math. Soc

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Complex Variables, Primary Primary 32E30, 32T20, 32T27, 32U05, 32V05, 32V25, 32W05; secondary 57R30

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http://salesiana.dossiersoluciones.com/handle/123456789/144604

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410386
 http://arxiv.org/abs/math/0410386
 Trans. Amer. Math. Soc. 360 (2008), no. 1, 307--329

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arXiv