Weighted Estimates for Commutators of n-Dimensional Rough Hardy Operators
We establish the weighted estimates for the commutators HΩ,b and HΩ,b∗ which are generated by the n-dimensional rough Hardy operators and central BMO functions on the weighted Lebesgue spaces, the weighted Herz spaces and the weighted Morrey-Herz spaces. Furthermore, the weighted Lipschitz estimates...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/568202 |
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| _version_ | 1832549849114869760 |
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| author | Zhuanxi Ren Shuangping Tao |
| author_facet | Zhuanxi Ren Shuangping Tao |
| author_sort | Zhuanxi Ren |
| collection | DOAJ |
| description | We establish the weighted estimates for the commutators HΩ,b and HΩ,b∗ which are generated by the n-dimensional rough Hardy operators and central BMO functions on the weighted Lebesgue spaces, the weighted Herz spaces and the weighted Morrey-Herz spaces. Furthermore, the weighted Lipschitz estimates are also obtained. |
| format | Article |
| id | doaj-art-40248067bd5147ed96d5f40a4f7db24d |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-40248067bd5147ed96d5f40a4f7db24d2025-02-03T06:08:22ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/568202568202Weighted Estimates for Commutators of n-Dimensional Rough Hardy OperatorsZhuanxi Ren0Shuangping Tao1College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu 730070, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu 730070, ChinaWe establish the weighted estimates for the commutators HΩ,b and HΩ,b∗ which are generated by the n-dimensional rough Hardy operators and central BMO functions on the weighted Lebesgue spaces, the weighted Herz spaces and the weighted Morrey-Herz spaces. Furthermore, the weighted Lipschitz estimates are also obtained.http://dx.doi.org/10.1155/2013/568202 |
| spellingShingle | Zhuanxi Ren Shuangping Tao Weighted Estimates for Commutators of n-Dimensional Rough Hardy Operators Journal of Function Spaces and Applications |
| title | Weighted Estimates for Commutators of n-Dimensional Rough Hardy Operators |
| title_full | Weighted Estimates for Commutators of n-Dimensional Rough Hardy Operators |
| title_fullStr | Weighted Estimates for Commutators of n-Dimensional Rough Hardy Operators |
| title_full_unstemmed | Weighted Estimates for Commutators of n-Dimensional Rough Hardy Operators |
| title_short | Weighted Estimates for Commutators of n-Dimensional Rough Hardy Operators |
| title_sort | weighted estimates for commutators of n dimensional rough hardy operators |
| url | http://dx.doi.org/10.1155/2013/568202 |
| work_keys_str_mv | AT zhuanxiren weightedestimatesforcommutatorsofndimensionalroughhardyoperators AT shuangpingtao weightedestimatesforcommutatorsofndimensionalroughhardyoperators |