$M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition
In this paper, we prove the $M^k$-type sharp maximal function estimates for the commutators related to some singular integral operators satisfying a variant of Hörmander's condition. As an application, we obtain the weighted boundedness of the commutators on Lebesgue and Morrey spaces.
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2013-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/16612 |
| _version_ | 1818412903866302464 |
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| author | Liu Lanzheliu |
| author_facet | Liu Lanzheliu |
| author_sort | Liu Lanzheliu |
| collection | DOAJ |
| description | In this paper, we prove the $M^k$-type sharp maximal function estimates for the commutators related to some singular integral operators satisfying a variant of Hörmander's condition. As an application, we obtain the weighted boundedness of the commutators on Lebesgue and Morrey spaces. |
| first_indexed | 2024-12-14T10:54:43Z |
| format | Article |
| id | doaj.art-8e9aba7a491f4270914f65bb15f216f0 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-12-14T10:54:43Z |
| publishDate | 2013-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-8e9aba7a491f4270914f65bb15f216f02022-12-21T23:05:00ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882013-12-0131212913710.5269/bspm.v31i2.166128255$M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's conditionLiu LanzheliuIn this paper, we prove the $M^k$-type sharp maximal function estimates for the commutators related to some singular integral operators satisfying a variant of Hörmander's condition. As an application, we obtain the weighted boundedness of the commutators on Lebesgue and Morrey spaces.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/16612Singular integral operatorCommutatorSharp maximal functionMorrey spaceBMO |
| spellingShingle | Liu Lanzheliu $M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition Boletim da Sociedade Paranaense de Matemática Singular integral operator Commutator Sharp maximal function Morrey space BMO |
| title | $M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition |
| title_full | $M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition |
| title_fullStr | $M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition |
| title_full_unstemmed | $M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition |
| title_short | $M^2$-type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of Hörmander's condition |
| title_sort | m 2 type sharp estimates and weighted boundedness for commutators related to singular integral operators satisfying a variant of hormander s condition |
| topic | Singular integral operator Commutator Sharp maximal function Morrey space BMO |
| url | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/16612 |
| work_keys_str_mv | AT liulanzheliu m2typesharpestimatesandweightedboundednessforcommutatorsrelatedtosingularintegraloperatorssatisfyingavariantofhormanderscondition |