On the global behavior of inverse mappings in terms of prime ends

Kirjoittajat

  • Nataliya Ilkevych Zhytomyr Ivan Franko State University
  • Evgeny Sevost'yanov Zhytomyr Ivan Franko State University and Institute of Applied Mathematics and Mechanics of NAS of Ukraine
  • Sergei Skvortsov Zhytomyr Ivan Franko State University

Avainsanat:

Mappings with a finite and bounded distortion, boundary behaviour, prime ends

Abstrakti

The paper is devoted to the study of mappings with finite distortion, actively studied recently. For mappings whose inverse satisfy the Poletsky inequality, the results on boundary behavior in terms of prime ends are obtained. In particular, it was proved that the families of the indicated mappings are equicontinuous at the points of the boundary if a certain function determining the distortion of the modulus of families of paths under the mappings is integrable.
Numero
Vol 46 Nro 1 (2021)
Osasto
Articles

Julkaistu

2021-06-21

Viittaaminen

Ilkevych, N., Sevost’yanov, E., & Skvortsov, S. (2021). On the global behavior of inverse mappings in terms of prime ends. Annales Fennici Mathematici, 46(1), 371–388. Noudettu osoitteesta https://afm.journal.fi/article/view/109591

Copyright (c) 2021 The Finnish Mathematical Society

Creative Commons License

Tämä työ on lisensoitu Creative Commons Nimeä-EiKaupallinen 4.0 Kansainvälinen Julkinen -lisenssillä.