On equicontinuous families of mappings of metric spaces

• Date: 2020
• Main Authors: Sevost'yanov, E. A., Skvortsov, S. O., Petrov, E. A., Севостьянов, Евгений Александрович, Скворцов, Сергей Александрович, Петров, Евгений Александрович, Севостьянов, Є. О., Скворцов, С. О., Петров, Є. О.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1075
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We obtain analogs of results on equicontinuity of families of quasiregular mappings that take no values from a fixed continuum. We prove that these families are equicontinuous whenever the quasiconformity characteristics of the mappings have a finite mean oscillation at every inner point....