Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces
Some multilinear maximal functions and the generalized Calderón-Zygmund operators and their commutators with nonsmooth kernels are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces Lp,k(ℝn). Based on the boundedness of these operator...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/280401 |
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| author | Songbai Wang Yinsheng Jiang |
| author_facet | Songbai Wang Yinsheng Jiang |
| author_sort | Songbai Wang |
| collection | DOAJ |
| description | Some multilinear maximal functions and the generalized Calderón-Zygmund operators and their commutators with nonsmooth kernels are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces Lp,k(ℝn). Based on the boundedness of these operators from Lp1(ωi)×⋯×Lpm(ωm) to Lp(∏j=1mωjp/pj), we obtained that they are also bounded from Lp1,k(ωi)×⋯×Lpm,k(ωm) to Lp,k(∏j=1mωjp/pj) with 0<k<1, 1<pj<∞, 1/p=1/p1,…,pm and ωj∈Apj, j=1,…,m. |
| format | Article |
| id | doaj-art-414dc9bc74bd4e72b108d785c96f07b7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-414dc9bc74bd4e72b108d785c96f07b72025-02-03T05:48:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/280401280401Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey SpacesSongbai Wang0Yinsheng Jiang1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaSome multilinear maximal functions and the generalized Calderón-Zygmund operators and their commutators with nonsmooth kernels are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces Lp,k(ℝn). Based on the boundedness of these operators from Lp1(ωi)×⋯×Lpm(ωm) to Lp(∏j=1mωjp/pj), we obtained that they are also bounded from Lp1,k(ωi)×⋯×Lpm,k(ωm) to Lp,k(∏j=1mωjp/pj) with 0<k<1, 1<pj<∞, 1/p=1/p1,…,pm and ωj∈Apj, j=1,…,m.http://dx.doi.org/10.1155/2013/280401 |
| spellingShingle | Songbai Wang Yinsheng Jiang Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces Abstract and Applied Analysis |
| title | Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces |
| title_full | Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces |
| title_fullStr | Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces |
| title_full_unstemmed | Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces |
| title_short | Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces |
| title_sort | multilinear singular integrals and their commutators with nonsmooth kernels on weighted morrey spaces |
| url | http://dx.doi.org/10.1155/2013/280401 |
| work_keys_str_mv | AT songbaiwang multilinearsingularintegralsandtheircommutatorswithnonsmoothkernelsonweightedmorreyspaces AT yinshengjiang multilinearsingularintegralsandtheircommutatorswithnonsmoothkernelsonweightedmorreyspaces |