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单词 EgorovsTheorem
释义

Egorov’s theorem


Let (X,𝒮,μ) be a measure spaceMathworldPlanetmath, and let E be a subset of X of finite measure. If fn is a sequence of measurable functionsMathworldPlanetmath converging to f almost everywhere, then for each δ>0 there exists a set Eδ such that μ(Eδ)<δ and fnf uniformly (http://planetmath.org/UniformConvergence) on E-Eδ.

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更新时间:2025/5/4 12:44:46