| 算子族的点态收敛性 |
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| 引用本文： | 匡继昌.算子族的点态收敛性[J].湖南师范大学自然科学学报,1995,18(4):9-12. |
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| 作者姓名： | 匡继昌 |
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| 作者单位： | 湖南师范大学数学系 |
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| 摘 要： | 利用极大算子的弱型性质证明抽象空间中的算子族｛Ｔε｝（ε＞０）的几乎处处收敛性定理。这些定理是推导Ｆｏｕｒｉｅｒ分析中许多算子列点态收敛性的基础。
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| 关 键 词： | 极大算子 点态收敛性 抽象空间 算子族 |
On the Pointwise Convergence of Operator Families |
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| Kuang Jichang.On the Pointwise Convergence of Operator Families[J].Journal of Natural Science of Hunan Normal University,1995,18(4):9-12. |
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| Authors: | Kuang Jichang |
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| Abstract: | A general principle governing the pointwise convergence of operator families with the help of maximal operators of weak type are studied. These results are basis of the pointwise convergence of many sequence of operators in Fourier analysis. |
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| Keywords: | maximal operator pointwise convergence abstract measure spaces |
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