Stein compacts in Levi-flat hypersurfaces
Complex Variables
2007-12-21 v5
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.
Keywords
Cite
@article{arxiv.math/0410386,
title = {Stein compacts in Levi-flat hypersurfaces},
author = {Franc Forstneric and Christine Laurent-Thiebaut},
journal= {arXiv preprint arXiv:math/0410386},
year = {2007}
}
Comments
Final version, Trans. Amer. Math. Soc