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Results tagged with measure-theory
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user 153405
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
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Convergence of local means implies converge ae?
Let $f,f_n \in L^1(\mathbb{R},\mathbb{R}_+)$ with $\int_{\mathbb{R}} f = \int_{\mathbb{R}} f_n = 1$, $(\sqrt{f_n})'$ bounded in $L^2$, $\nabla \sqrt{f}\in L^2$ and such that $$\int_{ p+[0,1/n]} f_n = …
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