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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/134701 |
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| _version_ | 1832559449129091072 |
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| author | Habibulla Akhadkulov Mohd Salmi Md Noorani |
| author_facet | Habibulla Akhadkulov Mohd Salmi Md Noorani |
| author_sort | Habibulla Akhadkulov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d053ebb5063b47989b0a066ea599eac0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d053ebb5063b47989b0a066ea599eac02025-02-03T01:30:00ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/134701134701On Absolute Continuity of Conjugations between Circle Maps with Break PointsHabibulla Akhadkulov0Mohd Salmi Md Noorani1School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi, 43600 Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi, 43600 Selangor, MalaysiaLet 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.http://dx.doi.org/10.1155/2012/134701 |
| spellingShingle | Habibulla Akhadkulov Mohd Salmi Md Noorani On Absolute Continuity of Conjugations between Circle Maps with Break Points Abstract and Applied Analysis |
| title | On Absolute Continuity of Conjugations between Circle Maps with Break Points |
| title_full | On Absolute Continuity of Conjugations between Circle Maps with Break Points |
| title_fullStr | On Absolute Continuity of Conjugations between Circle Maps with Break Points |
| title_full_unstemmed | On Absolute Continuity of Conjugations between Circle Maps with Break Points |
| title_short | On Absolute Continuity of Conjugations between Circle Maps with Break Points |
| title_sort | on absolute continuity of conjugations between circle maps with break points |
| url | http://dx.doi.org/10.1155/2012/134701 |
| work_keys_str_mv | AT habibullaakhadkulov onabsolutecontinuityofconjugationsbetweencirclemapswithbreakpoints AT mohdsalmimdnoorani onabsolutecontinuityofconjugationsbetweencirclemapswithbreakpoints |