2012/09/17 by Arkadiusz Lewandowski, Lewandowski, Arkadiusz
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CV
paper · pdf · doi:10.48550/arxiv.1209.3750
openalex publication_date 2012/09/17 · arxiv created 2013/04/23 · arxiv updated 2013/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the problem of the existence of envelopes of holomorphy of the A-crosses, which leads us to the far-reaching generalizations of the famous Hartogs theorem. We also take under consideration the issue of the existence of "nice" general descriptions of envelopes of holomorphy of the cross-like objects in terms of the relative extremal function, which seems to be very natural in the light of the extension theory of separately holomorphic functions on classical crosses and (N,k)-crosses.