Stein compacts in Levi-flat hypersurfaces

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.

arXiv commentFinal version, Trans. Amer. Math. Soc

Cited by in corpus (1)

• Aspects of the $L^2$-Sobolev theory of the $\bar{\partial }$-Neumann problem