Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators
This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued multilinear operator and BMO functions. By the w...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/363916 |
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| _version_ | 1832545884722692096 |
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| author | Dongxiang Chen Dan Zou Suzhen Mao |
| author_facet | Dongxiang Chen Dan Zou Suzhen Mao |
| author_sort | Dongxiang Chen |
| collection | DOAJ |
| description | This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear
commutator and iterated commutator generated by the vector-valued multilinear operator and BMO functions. By the weighted estimates for a class of new variant maximal and sharp maximal functions, the multiple weighted norm inequalities for such operators are obtained. |
| format | Article |
| id | doaj-art-dc1bb847c656488aad247cc26bdb9118 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-dc1bb847c656488aad247cc26bdb91182025-02-03T07:24:36ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/363916363916Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its CommutatorsDongxiang Chen0Dan Zou1Suzhen Mao2Department of Mathematics, Jiangxi Normal University, Jiangxi 330022, ChinaDepartment of Mathematics, Jiangxi Normal University, Jiangxi 330022, ChinaDepartment of Mathematics, Jiangxi Normal University, Jiangxi 330022, ChinaThis note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued multilinear operator and BMO functions. By the weighted estimates for a class of new variant maximal and sharp maximal functions, the multiple weighted norm inequalities for such operators are obtained.http://dx.doi.org/10.1155/2013/363916 |
| spellingShingle | Dongxiang Chen Dan Zou Suzhen Mao Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators Journal of Function Spaces and Applications |
| title | Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators |
| title_full | Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators |
| title_fullStr | Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators |
| title_full_unstemmed | Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators |
| title_short | Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators |
| title_sort | multiple weighted estimates for vector valued multilinear singular integrals with non smooth kernels and its commutators |
| url | http://dx.doi.org/10.1155/2013/363916 |
| work_keys_str_mv | AT dongxiangchen multipleweightedestimatesforvectorvaluedmultilinearsingularintegralswithnonsmoothkernelsanditscommutators AT danzou multipleweightedestimatesforvectorvaluedmultilinearsingularintegralswithnonsmoothkernelsanditscommutators AT suzhenmao multipleweightedestimatesforvectorvaluedmultilinearsingularintegralswithnonsmoothkernelsanditscommutators |