On the Theory of Prime Ends for Space Mappings

• Datum: 2015
• Hauptverfasser: Kovtonyuk, D. A., Ryazanov, V. I., Ковтонюк, Д. А., Рязанов, В. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1997
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We present a canonical representation of prime ends in regular domains and, on this basis, study the boundary behavior of the so-called lower Q-homeomorphisms obtained as a natural generalization of quasiconformal mappings. We establish a series of effective conditions imposed on a function Q(x) for...