Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces
We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new characterizations for weighted Lipschitz func...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-07-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2025-0143 |
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| author | Zhang Pu Fan Di |
| author_facet | Zhang Pu Fan Di |
| author_sort | Zhang Pu |
| collection | DOAJ |
| description | We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new characterizations for weighted Lipschitz functions are obtained in terms of the boundedness of the commutators. |
| format | Article |
| id | doaj-art-5479773de84c4deda3d7e948eb7a6d1c |
| institution | DOAJ |
| issn | 2391-4661 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj-art-5479773de84c4deda3d7e948eb7a6d1c2025-08-20T02:59:42ZengDe GruyterDemonstratio Mathematica2391-46612025-07-0158161163510.1515/dema-2025-0143Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spacesZhang Pu0Fan Di1Department of Mathematics, Mudanjiang Normal University, Mudanjiang, Heilongjiang 157011, P. R. ChinaDepartment of Automotive Engineering, Jiaozhou Vocational Education Center School, Jiaozhou, Shandong 266300, P. R. ChinaWe study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces (weighted Morrey-Campanato spaces). Some new characterizations for weighted Lipschitz functions are obtained in terms of the boundedness of the commutators.https://doi.org/10.1515/dema-2025-0143hardy-littlewood maximal functionsharp maximal functioncommutatorap weightweighted lipschitz spaceweighted morrey space42b2542b2026a1647b47 |
| spellingShingle | Zhang Pu Fan Di Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces Demonstratio Mathematica hardy-littlewood maximal function sharp maximal function commutator ap weight weighted lipschitz space weighted morrey space 42b25 42b20 26a16 47b47 |
| title | Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces |
| title_full | Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces |
| title_fullStr | Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces |
| title_full_unstemmed | Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces |
| title_short | Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces |
| title_sort | commutators for the maximal and sharp functions with weighted lipschitz functions on weighted morrey spaces |
| topic | hardy-littlewood maximal function sharp maximal function commutator ap weight weighted lipschitz space weighted morrey space 42b25 42b20 26a16 47b47 |
| url | https://doi.org/10.1515/dema-2025-0143 |
| work_keys_str_mv | AT zhangpu commutatorsforthemaximalandsharpfunctionswithweightedlipschitzfunctionsonweightedmorreyspaces AT fandi commutatorsforthemaximalandsharpfunctionswithweightedlipschitzfunctionsonweightedmorreyspaces |