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

  • R. R. Salimov Ин-т прикл. математики и механики НАН Украины, Донецк
  • E. A. Sevost'yanov


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.
How to Cite
Salimov, R. R., and E. A. Sevost’yanov. “On the Equicontinuity of One Family of Inverse mappings in Terms of Prime Ends”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 9, Sept. 2018, pp. 1264-73, https://umj.imath.kiev.ua/index.php/umj/article/view/1632.
Research articles