Hardy operators and the commutators on Hardy spaces
Abstract In this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with B M O $BMO$ and C M O ( R + ) $CMO(\mathbb{R}^{+})$ functions on Hardy s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-020-02518-2 |
| _version_ | 1818323400649605120 |
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| author | Zhuang Niu Shasha Guo Wenming Li |
| author_facet | Zhuang Niu Shasha Guo Wenming Li |
| author_sort | Zhuang Niu |
| collection | DOAJ |
| description | Abstract In this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with B M O $BMO$ and C M O ( R + ) $CMO(\mathbb{R}^{+})$ functions on Hardy spaces. |
| first_indexed | 2024-12-13T11:12:06Z |
| format | Article |
| id | doaj.art-6a986de0fcf24878bf1d08cc6c32b4dd |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-13T11:12:06Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-6a986de0fcf24878bf1d08cc6c32b4dd2022-12-21T23:48:42ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-12-012020111110.1186/s13660-020-02518-2Hardy operators and the commutators on Hardy spacesZhuang Niu0Shasha Guo1Wenming Li2School of Mathematical Sciences, Hebei Normal UniversitySchool of Mathematical Sciences, Hebei Normal UniversitySchool of Mathematical Sciences, Hebei Normal UniversityAbstract In this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with B M O $BMO$ and C M O ( R + ) $CMO(\mathbb{R}^{+})$ functions on Hardy spaces.https://doi.org/10.1186/s13660-020-02518-2Hardy operatorCommutatorsB M O $BMO$C M O $CMO$Hardy space |
| spellingShingle | Zhuang Niu Shasha Guo Wenming Li Hardy operators and the commutators on Hardy spaces Journal of Inequalities and Applications Hardy operator Commutators B M O $BMO$ C M O $CMO$ Hardy space |
| title | Hardy operators and the commutators on Hardy spaces |
| title_full | Hardy operators and the commutators on Hardy spaces |
| title_fullStr | Hardy operators and the commutators on Hardy spaces |
| title_full_unstemmed | Hardy operators and the commutators on Hardy spaces |
| title_short | Hardy operators and the commutators on Hardy spaces |
| title_sort | hardy operators and the commutators on hardy spaces |
| topic | Hardy operator Commutators B M O $BMO$ C M O $CMO$ Hardy space |
| url | https://doi.org/10.1186/s13660-020-02518-2 |
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