On Absolute Continuity of Conjugations between Circle Maps with Break Points

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.

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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.463-474
Hauptverfasser: Akhadkulov, Habibulla, Noorani, Mohd. Salmi Md
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Numbers
Studies
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/134701