Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals
This paper is concerned with the pointwise estimates for the sharp function of the maximal multilinear commutators TΣb* and maximal iterated commutator TΠb*, generalized by m-linear operator T and a weighted Lipschitz function b. The (Lp1(μ)×⋯×Lpm(μ),Lr(μ1-r)) boundedness and the (Lp1(μ)×⋯×Lpm(μ),Lr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/128520 |
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| _version_ | 1850212794091175936 |
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| author | Dongxiang Chen Suzhen Mao |
| author_facet | Dongxiang Chen Suzhen Mao |
| author_sort | Dongxiang Chen |
| collection | DOAJ |
| description | This paper is concerned with the pointwise estimates for the sharp function of the maximal multilinear commutators TΣb* and maximal iterated commutator TΠb*, generalized by m-linear operator T and a weighted Lipschitz function b. The (Lp1(μ)×⋯×Lpm(μ),Lr(μ1-r)) boundedness and the (Lp1(μ)×⋯×Lpm(μ),Lr(μ1-mr)) boundedness are obtained for maximal multilinear commutator TΣb* and maximal iterated commutator TΠb*, respectively. |
| format | Article |
| id | doaj-art-902b4d5bf1fc45c7affd0af6c9359379 |
| institution | OA Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-902b4d5bf1fc45c7affd0af6c93593792025-08-20T02:09:15ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/128520128520Weighted Estimates for Maximal Commutators of Multilinear Singular IntegralsDongxiang Chen0Suzhen Mao1Department of Mathematics, Jiangxi Normal University, Nanchang 330022, ChinaDepartment of Mathematics, Jiangxi Normal University, Nanchang 330022, ChinaThis paper is concerned with the pointwise estimates for the sharp function of the maximal multilinear commutators TΣb* and maximal iterated commutator TΠb*, generalized by m-linear operator T and a weighted Lipschitz function b. The (Lp1(μ)×⋯×Lpm(μ),Lr(μ1-r)) boundedness and the (Lp1(μ)×⋯×Lpm(μ),Lr(μ1-mr)) boundedness are obtained for maximal multilinear commutator TΣb* and maximal iterated commutator TΠb*, respectively.http://dx.doi.org/10.1155/2012/128520 |
| spellingShingle | Dongxiang Chen Suzhen Mao Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals Journal of Function Spaces and Applications |
| title | Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals |
| title_full | Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals |
| title_fullStr | Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals |
| title_full_unstemmed | Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals |
| title_short | Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals |
| title_sort | weighted estimates for maximal commutators of multilinear singular integrals |
| url | http://dx.doi.org/10.1155/2012/128520 |
| work_keys_str_mv | AT dongxiangchen weightedestimatesformaximalcommutatorsofmultilinearsingularintegrals AT suzhenmao weightedestimatesformaximalcommutatorsofmultilinearsingularintegrals |