On Egorov-like theorems for monotone measure
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Do Huy Hoang
Abstract
In theory of generalized measure, Egorov-like theorems have been investigated. In this article, we introduce generalized concepts of almost everywhere convergence and almost uniform convergence. Next Egorov-like theorems with respect to the generalized convergences are provided. Finally, versions of Egorov condition for the more general context of convergence are also established.
Acknowledgements
The authors are very grateful to the referees for their careful reading of the manuscript and for valuable comments which improved the quality of the paper. The authors are also very grateful for the help from the editor.
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