On Egorov-like theorems for monotone measure
Do Huy Hoang, Truong Thi Nhan, Pham Thanh Son, Dao Van Duong, Tran Nhat Luan · Journal of Applied Analysis · 2024
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.