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ON MEASURABLE FUNCTIONAL SPACES BASED ON PSEUDO-ADDITION DECOMPOSABLE MEASURES
Author(s) -
Dong Qiu,
Shuqiao Chen,
Song Jiaqi
Publication year - 2017
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2017064
Subject(s) - mathematics , convergence (economics) , measurable function , measure (data warehouse) , pure mathematics , sequence (biology) , weak convergence , discrete mathematics , mathematical analysis , computer science , bounded function , data mining , genetics , biology , economics , economic growth , computer security , asset (computer security)
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.

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