2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144604We 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.Final version, Trans. Amer. Math. SocComplex VariablesPrimary Primary 32E30, 32T20, 32T27, 32U05, 32V05, 32V25, 32W05; secondary 57R30text