Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性)
用旋转法结合Fourier估计以及Littlewood-Paley理论给出了乘积空间上带粗糙核的极大奇异积分算子的Lp有界性.证明了对于Ω∈Lq(Sn-1×Sm-1),其中q>1,,且,则积域上极大奇异积分算子为Lp(Rn×Rm)有界,其中1<p<∞.从而改进了以往的结果.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2003-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/zjup/1008-9497.2003.30.4.361-364 |
| _version_ | 1827303483536048128 |
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| author | WANGMeng(王梦) |
| author_facet | WANGMeng(王梦) |
| author_sort | WANGMeng(王梦) |
| collection | DOAJ |
| description | 用旋转法结合Fourier估计以及Littlewood-Paley理论给出了乘积空间上带粗糙核的极大奇异积分算子的Lp有界性.证明了对于Ω∈Lq(Sn-1×Sm-1),其中q>1,,且,则积域上极大奇异积分算子为Lp(Rn×Rm)有界,其中1<p<∞.从而改进了以往的结果. |
| first_indexed | 2024-04-24T17:02:16Z |
| format | Article |
| id | doaj.art-2ca7160ffadd4adf9112a39da666792b |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T17:02:16Z |
| publishDate | 2003-07-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-2ca7160ffadd4adf9112a39da666792b2024-03-29T01:58:20ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972003-07-01304361364zjup/1008-9497.2003.30.4.361-364Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性)WANGMeng(王梦)0 1.Institute of Mathematics, Fudan University, Shanghai 200433, China( 1.复旦大学数学所，上海 200433)用旋转法结合Fourier估计以及Littlewood-Paley理论给出了乘积空间上带粗糙核的极大奇异积分算子的Lp有界性.证明了对于Ω∈Lq(Sn-1×Sm-1),其中q>1,,且,则积域上极大奇异积分算子为Lp(Rn×Rm)有界,其中1<p<∞.从而改进了以往的结果.https://doi.org/zjup/1008-9497.2003.30.4.361-364乘积空间粗糙核极大算子 |
| spellingShingle | WANGMeng(王梦) Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性) Zhejiang Daxue xuebao. Lixue ban 乘积空间 粗糙核 极大算子 |
| title | Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性) |
| title_full | Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性) |
| title_fullStr | Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性) |
| title_full_unstemmed | Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性) |
| title_short | Lp-boundedness of maximal singular integral operators on product domains(乘积空间上极大奇异积分算子的Lp有界性) |
| title_sort | lp boundedness of maximal singular integral operators on product domains 乘积空间上极大奇异积分算子的lp有界性 |
| topic | 乘积空间 粗糙核 极大算子 |
| url | https://doi.org/zjup/1008-9497.2003.30.4.361-364 |
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