2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74602We prove some extension theorems for analytic objects, in particular sections of a coherent sheaf, defined in semi q-coronae of a complex space. Semi q-coronae are domains whose boundary is the union of a Levi flat part, a q-pseudoconvex part and a q-pseudoconcave part. Such results are obtained mainly using cohomological techniques.13 pages; submitted to Mathematische ZeitschriftComplex Variables32D15 (Primary); 32F10, 32L10 (Secondary)Cohomology and extension problems for semi q-coronaetext