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Results tagged with measure-theory
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user 83098
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
6
votes
1
answer
1k
views
Are Bochner measurablity and Borel measurability compatible?
Let $(X,\mathfrak{M})$ be a measurable space and $E$ be a Banach space and $f:(X,\mathfrak{M})\rightarrow E$ be a function.
Question
Are Borel-measurable condition on $f$ and Bochner-measurable condi …
- 337
2
votes
2
answers
230
views
Is the domain of symmetric derivative borel set?
Let $\mu$ be the $n$-dimensional Lebesgue measure and $\lambda$ be a complex Borel measure on $\mathbb{R}^n$.
Let $S$ be the set of points $x\in \mathbb{R}^n$ where $\lim_{r\to 0} \frac{\lambda (B(x, …
- 337