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ISSN 1088-6850(e) ISSN 0002-9947(p)

Stein compacts in Levi-flat hypersurfaces

Author(s): Franc Forstneric; Christine Laurent-Thiébaut
Journal: Trans. Amer. Math. Soc. 360 (2008), 307-329.
MSC (2000): Primary 32D15, 32T20, 32T27, 32V05, 32V25; Secondary 57R30
Posted: July 23, 2007
MathSciNet review: 2342004
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Abstract: We explore connections between geometric properties of the Levi foliation of a Levi-flat hypersurface and holomorphic convexity of compact sets in , or bounded in part by . Applications include extendability of Cauchy-Riemann functions, solvability of the $\overline{\partial}_b$ -equation, approximation of Cauchy-Riemann and holomorphic functions, and global regularity of the $\overline{\partial}$ -Neumann operator.

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