Stein compacts in Levi-flat hypersurfaces |
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Authors: | Franc Forstneric Christine Laurent-Thié baut |
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Affiliation: | Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia ; Institut Fourier, UMR 5582 CNRS/UJF, BP 74, 38402 St. Martin d'Hères Cedex, France |
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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 -equation, approximation of Cauchy-Riemann and holomorphic functions, and global regularity of the -Neumann operator. |
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Keywords: | Levi-flat hypersurfaces foliations Stein manifolds |
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