On the equicontinuity of one family of inverse mappings in terms of prime ends

• Datum: 2018
• Hauptverfasser: Salimov, R. R., Sevost'yanov, E. A., Салимов, Р. Р., Севостьянов, Е. А.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1632
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For a class of mappings satisfying upper modular estimates with respect to families of curves, we study the behavior of the corresponding inverse mappings. In the terms of prime ends, we prove that the families of these homeomorphisms are equicontinuous (normal) in the closure of a given domain.