2006/08/25 by В. В. Андриевскии, Andrievskii, Vladimir
Mathematics · #30C10 #30C15 #41A10 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.math/0608643
openalex publication_date 2006/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let \Om be a domain in the complex plane \C whose complement E=\OC∖ \Om, where \OC=\C∪\∞\ is a subset of the real line (i.e. \Om is a Denjoy domain). If each point of E is regular for the Dirichlet problem in \Om, we provide a geometric description of the structure of E near infinity such that the Martin boundary of \Om has one or two "infinite" points.