Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes
Some sharp estimates of the Lp1≤p<∞ modulus of continuity of classes of Λφ-bounded variation are obtained. As direct applications, we obtain estimates of order of Fourier coefficients of functions of Λφ-bounded variation, and we also characterize some sufficient and necessary conditions for the e...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/201801 |
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| _version_ | 1832545281722286080 |
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| author | Heping Wang Zhaoyang Wu |
| author_facet | Heping Wang Zhaoyang Wu |
| author_sort | Heping Wang |
| collection | DOAJ |
| description | Some sharp estimates of the Lp1≤p<∞ modulus of continuity of classes of Λφ-bounded variation are obtained. As direct applications, we obtain estimates of order of Fourier coefficients of functions of Λφ-bounded variation, and we also characterize some sufficient and necessary conditions for the embedding relations Hpω⊂ΛφBV. Our results include the corresponding known results of the class ΛBV as a special case. |
| format | Article |
| id | doaj-art-115ee4177b664a5daa5a57f378804b08 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-115ee4177b664a5daa5a57f378804b082025-02-03T07:26:11ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/201801201801Estimates of Lp Modulus of Continuity of Generalized Bounded Variation ClassesHeping Wang0Zhaoyang Wu1School of Mathematical Sciences, BCMIIS, Capital Normal University, Beijing 100048, ChinaNO. 2 Middle School of Changping, Beijing 102208, ChinaSome sharp estimates of the Lp1≤p<∞ modulus of continuity of classes of Λφ-bounded variation are obtained. As direct applications, we obtain estimates of order of Fourier coefficients of functions of Λφ-bounded variation, and we also characterize some sufficient and necessary conditions for the embedding relations Hpω⊂ΛφBV. Our results include the corresponding known results of the class ΛBV as a special case.http://dx.doi.org/10.1155/2014/201801 |
| spellingShingle | Heping Wang Zhaoyang Wu Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes Journal of Function Spaces |
| title | Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes |
| title_full | Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes |
| title_fullStr | Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes |
| title_full_unstemmed | Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes |
| title_short | Estimates of Lp Modulus of Continuity of Generalized Bounded Variation Classes |
| title_sort | estimates of lp modulus of continuity of generalized bounded variation classes |
| url | http://dx.doi.org/10.1155/2014/201801 |
| work_keys_str_mv | AT hepingwang estimatesoflpmodulusofcontinuityofgeneralizedboundedvariationclasses AT zhaoyangwu estimatesoflpmodulusofcontinuityofgeneralizedboundedvariationclasses |