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

Authors

  • 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

Keywords:

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

Abstract

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.
Issue
Vol. 46 No. 1 (2021)
Section
Articles

Published

2021-06-21

How to Cite

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. Retrieved from https://afm.journal.fi/article/view/109591

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