| On measurable functional spaces based on pseudo-addition decomposable measures |
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| 作者姓名： | Dong Qiu Shuqiao Chen Jiaqi Song |
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| 作者单位： | College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, 400065 Chongqing, China,College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, 400065 Chongqing, China,College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, 400065 Chongqing, China |
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| 摘 要： |
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| 收稿时间： | 2016/9/30 0:00:00 |
| 修稿时间： | 2016/12/22 0:00:00 |
On measurable functional spaces based on pseudo-addition decomposable measures |
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| Dong Qiu,Shuqiao Chen,Jiaqi Song.On measurable functional spaces based on pseudo-addition decomposable measures[J].Journal of Applied Analysis & Computation,2017,7(3):1022-1036. |
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| Authors: | Dong Qiu Shuqiao Chen and Jiaqi Song |
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| Institution: | College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, 400065 Chongqing, China,College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, 400065 Chongqing, China and College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, 400065 Chongqing, China |
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| Abstract: | In this paper, we mainly discuss the measurable functional spaces based on strict pseudo-additions. Particularly, we obtained the some important theorems for the measurable functional spaces based on a strict pseudo-addition. Furthermore, we got that the some properties of the sequence of a.e. convergence and convergence in $\oplus$-measure, and the relationship between a.e. convergence and convergence in $\oplus$-measure on the measurable functional spaces based on a strict pseudo-addition. |
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| Keywords: | Strict pseudo-additions measurable functional spaces decomposable measures |
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