Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
(Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. It is also proved that the commutators of fractional Hardy operators are mapped from the Herz-type Hardy spaces into the Herz spaces. T...
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| Main Authors: | , |
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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/10.1155/2014/272864 |
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| _version_ | 1832566201679609856 |
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| author | Jiang Zhou Dinghuai Wang |
| author_facet | Jiang Zhou Dinghuai Wang |
| author_sort | Jiang Zhou |
| collection | DOAJ |
| description | (Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. It is also proved that the commutators of fractional Hardy operators are mapped from the Herz-type Hardy spaces into the Herz spaces. The estimates for multilinear commutators of fractional Hardy operators are also discussed. |
| format | Article |
| id | doaj-art-4dd255793ab54ee1b7095ccc85b02f9f |
| 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-4dd255793ab54ee1b7095ccc85b02f9f2025-02-03T01:04:52ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/272864272864Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy SpacesJiang Zhou0Dinghuai Wang1Department of Mathematics, Xinjiang University, Urumqi 830046, ChinaDepartment of Mathematics, Xinjiang University, Urumqi 830046, China(Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. It is also proved that the commutators of fractional Hardy operators are mapped from the Herz-type Hardy spaces into the Herz spaces. The estimates for multilinear commutators of fractional Hardy operators are also discussed.http://dx.doi.org/10.1155/2014/272864 |
| spellingShingle | Jiang Zhou Dinghuai Wang Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces Journal of Function Spaces |
| title | Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces |
| title_full | Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces |
| title_fullStr | Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces |
| title_full_unstemmed | Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces |
| title_short | Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces |
| title_sort | endpoint estimates for fractional hardy operators and their commutators on hardy spaces |
| url | http://dx.doi.org/10.1155/2014/272864 |
| work_keys_str_mv | AT jiangzhou endpointestimatesforfractionalhardyoperatorsandtheircommutatorsonhardyspaces AT dinghuaiwang endpointestimatesforfractionalhardyoperatorsandtheircommutatorsonhardyspaces |