| 一个卷积算子的点态收敛的定理 |
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| 引用本文： | 王信松,傅绪加,李华. 一个卷积算子的点态收敛的定理[J]. 南京大学学报(自然科学版), 2011, 0(2): 245-248 |
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| 作者姓名： | 王信松 傅绪加 李华 |
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| 作者单位： | [1]天津城市建设学院基础学科部,天津300384 [2]淮北师范大学数学科学学院,淮北235000 |
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| 摘 要： | 本文证明了卷积算子在点态意义下收敛的一个定理,这个定理的条件比已有的卷积定理的条件要弱,同时也给出了已有的卷积定理新的证明方法.
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| 关 键 词： | 卷积算子 强（p,p）型 弱（p,p）型 |
A POINT WISE CONVERGENCE THEOREM ON CONVOLUTION OPERATORS |
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| Wang Xinsong Dept. of Basic Course,Tianjin Institute of Urban Construction,Tianjin PRC Fu Xujia and Li Hua. A POINT WISE CONVERGENCE THEOREM ON CONVOLUTION OPERATORS[J]. Journal of Nanjing University: Nat Sci Ed, 2011, 0(2): 245-248 |
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| Authors: | Wang Xinsong Dept. of Basic Course Tianjin Institute of Urban Construction Tianjin PRC Fu Xujia Li Hua |
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| Affiliation: | Wang Xinsong (Dept. of Basic Course, Tianjin Institute of Urban Construction, 300384, Tianjin PRC) Fu Xujia and Li Hua (School of Mathematics, Huaibei Normal University, 235000, Huaibei PRC) |
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| Abstract: | In this paper, a point wise convergence theorem on convolution operators is proved, in which the condition is weaker than the known one and the proof of the theorem seems to be new. |
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| Keywords: | convolution operator type of （p p） weak type of （p p） |
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