Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space
In this paper, we give characterization of a p-adic version of Lipschitz spaces in terms of the boundedness of commutators of maximal function in the context of the p-adic version of Lebesgue spaces and Morrey spaces, where the symbols of the commutators belong to the Lipschitz spaces. A useful tool...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7430272 |
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| _version_ | 1850159628555386880 |
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| author | Qianjun He Xiang Li |
| author_facet | Qianjun He Xiang Li |
| author_sort | Qianjun He |
| collection | DOAJ |
| description | In this paper, we give characterization of a p-adic version of Lipschitz spaces in terms of the boundedness of commutators of maximal function in the context of the p-adic version of Lebesgue spaces and Morrey spaces, where the symbols of the commutators belong to the Lipschitz spaces. A useful tool is a Lipschitz norm involving the John-Nirenberg-type inequality for homogeneous Lipschitz functions, which is new in the p-adic field context. |
| format | Article |
| id | doaj-art-b940d471b3a540ee83b2e4cf9b763d99 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b940d471b3a540ee83b2e4cf9b763d992025-08-20T02:23:27ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7430272Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector SpaceQianjun He0Xiang Li1School of Applied ScienceSchool of ScienceIn this paper, we give characterization of a p-adic version of Lipschitz spaces in terms of the boundedness of commutators of maximal function in the context of the p-adic version of Lebesgue spaces and Morrey spaces, where the symbols of the commutators belong to the Lipschitz spaces. A useful tool is a Lipschitz norm involving the John-Nirenberg-type inequality for homogeneous Lipschitz functions, which is new in the p-adic field context.http://dx.doi.org/10.1155/2022/7430272 |
| spellingShingle | Qianjun He Xiang Li Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space Journal of Mathematics |
| title | Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space |
| title_full | Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space |
| title_fullStr | Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space |
| title_full_unstemmed | Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space |
| title_short | Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space |
| title_sort | characterization of lipschitz spaces via commutators of maximal function on the p adic vector space |
| url | http://dx.doi.org/10.1155/2022/7430272 |
| work_keys_str_mv | AT qianjunhe characterizationoflipschitzspacesviacommutatorsofmaximalfunctiononthepadicvectorspace AT xiangli characterizationoflipschitzspacesviacommutatorsofmaximalfunctiononthepadicvectorspace |