Boundedness of Commutators of High-Dimensional Hausdorff Operators
We prove the boundedness of commutators of high-dimensional Hausdorff operators 𝐻Φ,𝑏 on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.
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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: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/541205 |
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| _version_ | 1832567245107101696 |
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| author | Guilian Gao Houyu Jia |
| author_facet | Guilian Gao Houyu Jia |
| author_sort | Guilian Gao |
| collection | DOAJ |
| description | We prove the boundedness of commutators of high-dimensional Hausdorff operators 𝐻Φ,𝑏 on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained. |
| format | Article |
| id | doaj-art-996bce14abdb4cb5a71d162280fbbf2d |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-996bce14abdb4cb5a71d162280fbbf2d2025-02-03T01:01:59ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/541205541205Boundedness of Commutators of High-Dimensional Hausdorff OperatorsGuilian Gao0Houyu Jia1Department of Mathematics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mathematics, Zhejiang University, Hangzhou 310027, ChinaWe prove the boundedness of commutators of high-dimensional Hausdorff operators 𝐻Φ,𝑏 on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.http://dx.doi.org/10.1155/2012/541205 |
| spellingShingle | Guilian Gao Houyu Jia Boundedness of Commutators of High-Dimensional Hausdorff Operators Journal of Function Spaces and Applications |
| title | Boundedness of Commutators of High-Dimensional Hausdorff Operators |
| title_full | Boundedness of Commutators of High-Dimensional Hausdorff Operators |
| title_fullStr | Boundedness of Commutators of High-Dimensional Hausdorff Operators |
| title_full_unstemmed | Boundedness of Commutators of High-Dimensional Hausdorff Operators |
| title_short | Boundedness of Commutators of High-Dimensional Hausdorff Operators |
| title_sort | boundedness of commutators of high dimensional hausdorff operators |
| url | http://dx.doi.org/10.1155/2012/541205 |
| work_keys_str_mv | AT guiliangao boundednessofcommutatorsofhighdimensionalhausdorffoperators AT houyujia boundednessofcommutatorsofhighdimensionalhausdorffoperators |