Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces
In this paper, we establish the boundedness of rough $ p $-adic fractional integral operators on $ p $-adic generalized Morrey spaces, as well as the boundedness of multilinear commutators generated by rough $ p $-adic fractional integral operator and $ p $-adic generalized Campanato functions. More...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023868?viewType=HTML |
| _version_ | 1797817034871930880 |
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| author | Yanlong Shi Xiangxing Tao |
| author_facet | Yanlong Shi Xiangxing Tao |
| author_sort | Yanlong Shi |
| collection | DOAJ |
| description | In this paper, we establish the boundedness of rough $ p $-adic fractional integral operators on $ p $-adic generalized Morrey spaces, as well as the boundedness of multilinear commutators generated by rough $ p $-adic fractional integral operator and $ p $-adic generalized Campanato functions. Moreover, the boundedness in classical Morrey is given as corollaries. |
| first_indexed | 2024-03-13T08:46:27Z |
| format | Article |
| id | doaj.art-c318754164e74072927173297a2d813d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T08:46:27Z |
| publishDate | 2023-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c318754164e74072927173297a2d813d2023-05-30T01:55:16ZengAIMS PressAIMS Mathematics2473-69882023-05-0187170121702610.3934/math.2023868Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spacesYanlong Shi 0Xiangxing Tao11. Zhejiang Pharmaceutical University, Ningbo, Zhejiang, 315100, China2. Department of Mathematics, School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejiang, 310023, ChinaIn this paper, we establish the boundedness of rough $ p $-adic fractional integral operators on $ p $-adic generalized Morrey spaces, as well as the boundedness of multilinear commutators generated by rough $ p $-adic fractional integral operator and $ p $-adic generalized Campanato functions. Moreover, the boundedness in classical Morrey is given as corollaries.https://www.aimspress.com/article/doi/10.3934/math.2023868?viewType=HTMLrough $ p $-adic fractional integralmultilinear commutator$ p $-adic generalized morrey spaces$ p $-adic generalized campanato function |
| spellingShingle | Yanlong Shi Xiangxing Tao Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces AIMS Mathematics rough $ p $-adic fractional integral multilinear commutator $ p $-adic generalized morrey spaces $ p $-adic generalized campanato function |
| title | Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces |
| title_full | Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces |
| title_fullStr | Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces |
| title_full_unstemmed | Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces |
| title_short | Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces |
| title_sort | rough fractional integral and its multilinear commutators on p adic generalized morrey spaces |
| topic | rough $ p $-adic fractional integral multilinear commutator $ p $-adic generalized morrey spaces $ p $-adic generalized campanato function |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023868?viewType=HTML |
| work_keys_str_mv | AT yanlongshi roughfractionalintegralanditsmultilinearcommutatorsonpadicgeneralizedmorreyspaces AT xiangxingtao roughfractionalintegralanditsmultilinearcommutatorsonpadicgeneralizedmorreyspaces |