Stein compacts in Levi-flat hypersurfaces

Details Stein compacts in Levi-flat hypersurfaces Stein compacts in Levi-flat hypersurfaces

2004-10-18

arxiv.org/abs/math/0410386v5

Trans. Amer. Math. Soc. 360 (2008), no. 1, 307--329

Mathematics

Complex Variables

Final version, Trans. Amer. Math. Soc

Scientific paper

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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