ON MEASURABLE FUNCTIONAL SPACES BASED ON PSEUDO-ADDITION DECOMPOSABLE MEASURES

Dong Qiu; Shuqiao Chen; Jiaqi Song

doi:10.11948/2017064

2017 Volume 7 Issue 3

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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. doi: 10.11948/2017064

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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. doi: 10.11948/2017064

ON MEASURABLE FUNCTIONAL SPACES BASED ON PSEUDO-ADDITION DECOMPOSABLE MEASURES

College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, 400065 Chongqing, China

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Abstract

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 pseudoaddition. Furthermore, we got that the some properties of the sequence of a.e. convergence and convergence in ⊕-measure, and the relationship between a.e. convergence and convergence in ⊕-measure on the measurable functional spaces based on a strict pseudo-addition.
- Strict pseudo-additions /
- measurable functional spaces /
- decomposable measures
MSC: 28E10;26E50

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