A remark on Denjoy's inequality for PL circle homeomorphisms with two break points

Akhtam Dzhalilov

Abstract

We extend Denjoy's distortion inequality to piecewise linear circle homeomorphisms with two break points and discuss its consequences for the regularity of the invariant measure.

Authors: A. Dzhalilov, A. Jalilov, D. Mayer

Keywords

Denjoy Breaks

Cite this paper

Cite this article

@article{a_remark_on_denjoys_inequality_for_pl_circle_homeomorphisms_with_two_break_points,
  author    = {Akhtam Dzhalilov},
  title     = {A remark on Denjoy's inequality for PL circle homeomorphisms with two break points},
  journal   = {Journal of Mathematical Analysis and Applications, 458},
  year      = {2018},
  pages     = {508—520},
}