Autocountinuity from below of set functions and convergence in measure

Autocountinuity from below of set functions and convergence in measure
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集合函数自下而上的自计数性和测度收敛性

DOI:
10.1007/978-3-642-22833-9_9
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发表时间:
2011
期刊:
Nonlinear Maths.for Uncertainty and its Appli., Advances in Intel.and Soft Computing, Springer
影响因子:
--
通讯作者:
Ling Zhou
Ling Zhou
中科院分区:
--
文献类型:
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作者:
Jun Li;Masami Yasuda;Ling Zhou

文献摘要

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本文引入了集函数的强自下连续性和强匡威自下连续性的概念。利用单调测度下的四种自连续性,讨论了可测函数列依测度收敛与伪依测度收敛之间的关系。
In this note, the concepts of strong autocontinuity from below and strong converse autocontinuity from below of set function are introduced. By using four types of autocontinuity from below of monotone measure, the relationship between convergence in measure and pseudo-convergence in measure for sequence of measurable function are discussed.