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A SUFFICIENT CONDITION FOR THE ABSOLUTE CONTINUITY OF CONJUGATION BETWEEN CIRCLE HOMEOMORPHISMS WITH BREAKS

Habibulla AkhadkulovSchool of Quantitative Sciences University Utara Malaysia CAS 06010, UUM Sintok, Kedah Darul Aman, MALAYSIAHariwan Z. IbrahimSchool of Quantitative Sciences University Utara Malaysia CAS 06010, UUM Sintok, Kedah Darul Aman, MALAYSIAAzizan SaabanSchool of Quantitative Sciences University Utara Malaysia CAS 06010, UUM Sintok, Kedah Darul Aman, MALAYSIASokhobiddin AkhatkulovFaculty of Applied Mathematics and Informatics Samarkand State University Boulevard st. 15, 140104 Samarkand, UZBEKISTAN

International Journal of Apllied Mathematicsjournal2019en

ABI

Annotatsiya

Let T 1 and T 2 be circle homeomorphisms with countable many break points, that is, discontinuities in the derivative T 1 and T 2 , with identical irrational rotation number . Assume that the total variations of log DT i , i = 1, 2 are bounded. We provide a sufficient condition for the absolute continuity of conjugation between T 1 and T 2 . The result extends and complements previous obtained results in [2] and [6].

Mavzular

Mathematical Dynamics and Fractals

Identifikatorlar

DOI: 10.12732/ijam.v32i2.2

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