Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions
In this paper, the regularity properties of two classes of commutators of the one-sided Hardy-Littlewood maximal functions and their fractional variants are investigated. Some new bounds for the derivatives of the above commutators and the boundedness and continuity for the above commutators on the...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/1369454 |
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| _version_ | 1850105121346682880 |
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| author | Daiqing Zhang |
| author_facet | Daiqing Zhang |
| author_sort | Daiqing Zhang |
| collection | DOAJ |
| description | In this paper, the regularity properties of two classes of commutators of the one-sided Hardy-Littlewood maximal functions and their fractional variants are investigated. Some new bounds for the derivatives of the above commutators and the boundedness and continuity for the above commutators on the Sobolev spaces will be presented. The corresponding results for the discrete analogues are also considered. |
| format | Article |
| id | doaj-art-3c607f9ecf424ba99055b8f8be647a75 |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3c607f9ecf424ba99055b8f8be647a752025-08-20T02:39:11ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/13694541369454Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal FunctionsDaiqing Zhang0College of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350118, ChinaIn this paper, the regularity properties of two classes of commutators of the one-sided Hardy-Littlewood maximal functions and their fractional variants are investigated. Some new bounds for the derivatives of the above commutators and the boundedness and continuity for the above commutators on the Sobolev spaces will be presented. The corresponding results for the discrete analogues are also considered.http://dx.doi.org/10.1155/2020/1369454 |
| spellingShingle | Daiqing Zhang Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions Journal of Function Spaces |
| title | Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions |
| title_full | Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions |
| title_fullStr | Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions |
| title_full_unstemmed | Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions |
| title_short | Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions |
| title_sort | regularity of commutators of the one sided hardy littlewood maximal functions |
| url | http://dx.doi.org/10.1155/2020/1369454 |
| work_keys_str_mv | AT daiqingzhang regularityofcommutatorsoftheonesidedhardylittlewoodmaximalfunctions |