Some remarks on the sparse dominations for commutators of multi(sub)linear operator
Abstract We establish pointwise sparse dominations for the iterated commutators of multi(sub)linear operators satisfying the W q $W_{q}$ condition. As consequences, we present some quantitative weighted estimates for the commutators. In addition, we also obtain the Fefferman–Stein inequality, the Co...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-021-02585-z |
| _version_ | 1828897124632231936 |
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| author | Zhidan Wang |
| author_facet | Zhidan Wang |
| author_sort | Zhidan Wang |
| collection | DOAJ |
| description | Abstract We establish pointwise sparse dominations for the iterated commutators of multi(sub)linear operators satisfying the W q $W_{q}$ condition. As consequences, we present some quantitative weighted estimates for the commutators. In addition, we also obtain the Fefferman–Stein inequality, the Coifman–Fefferman inequality, and the local decay estimates regarding the iterated commutators. |
| first_indexed | 2024-12-13T14:52:06Z |
| format | Article |
| id | doaj.art-dbe0352746a4426a908106bd6770b8d9 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-13T14:52:06Z |
| publishDate | 2021-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-dbe0352746a4426a908106bd6770b8d92022-12-21T23:41:20ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-03-012021111110.1186/s13660-021-02585-zSome remarks on the sparse dominations for commutators of multi(sub)linear operatorZhidan Wang0School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of EducationAbstract We establish pointwise sparse dominations for the iterated commutators of multi(sub)linear operators satisfying the W q $W_{q}$ condition. As consequences, we present some quantitative weighted estimates for the commutators. In addition, we also obtain the Fefferman–Stein inequality, the Coifman–Fefferman inequality, and the local decay estimates regarding the iterated commutators.https://doi.org/10.1186/s13660-021-02585-zIterated commutatorsSparse dominationsFefferman–Stein inequalityCoifman–Fefferman inequalityLocal decay estimates |
| spellingShingle | Zhidan Wang Some remarks on the sparse dominations for commutators of multi(sub)linear operator Journal of Inequalities and Applications Iterated commutators Sparse dominations Fefferman–Stein inequality Coifman–Fefferman inequality Local decay estimates |
| title | Some remarks on the sparse dominations for commutators of multi(sub)linear operator |
| title_full | Some remarks on the sparse dominations for commutators of multi(sub)linear operator |
| title_fullStr | Some remarks on the sparse dominations for commutators of multi(sub)linear operator |
| title_full_unstemmed | Some remarks on the sparse dominations for commutators of multi(sub)linear operator |
| title_short | Some remarks on the sparse dominations for commutators of multi(sub)linear operator |
| title_sort | some remarks on the sparse dominations for commutators of multi sub linear operator |
| topic | Iterated commutators Sparse dominations Fefferman–Stein inequality Coifman–Fefferman inequality Local decay estimates |
| url | https://doi.org/10.1186/s13660-021-02585-z |
| work_keys_str_mv | AT zhidanwang someremarksonthesparsedominationsforcommutatorsofmultisublinearoperator |