On Absolute Continuity of Conjugations between Circle Maps with Break Points

Let T1 and T2 be piecewise smooth circle homeomorphisms with break points and identical irrational rotation numbers. We provide one sufficient and necessary condition for the absolute continuity of conjugation map between T1 and T2.

Bibliographic Details
Main Authors: Habibulla Akhadkulov, Mohd Salmi Md Noorani
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/134701