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Stein compacts in Levi-flat hypersurfaces

Franc Forstneric·Christine Laurent-Thiebaut
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Abstract

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.

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Franc Forstneric, Christine Laurent-Thiebaut. 2006-06-14. Stein compacts in Levi-flat hypersurfaces. https://arxiv.org/abs/math/0410386

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