List questions from borel-measures

33

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$g: [0, 1] \rightarrow [0, \infty]$ such that $\int_{x}^{y} g \leq M(y-x)$ for all $x < y \in [0, 1]$ then $g \leq M$ a.e.

Published on 17 Jun 2019 - 5:27

799

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Riesz-Markov Theorem Proof exercise from Stein and Shakarchi

Published on 21 Jun 2019 - 10:31

385

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$L^{p}$ is separable for second countable space

Published on 26 Jun 2019 - 15:00

126

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Derivatives in the space of finite signed measures.

Published on 27 Jun 2019 - 17:53

341

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Borel regular implies inner regular and outer regular

Published on 29 Jun 2019 - 0:42

68

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Measures which are invariant under a group action are unique

Published on 01 Jul 2019 - 16:44

403

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Measure of dense $G_\delta$ set

Published on 01 Jul 2019 - 20:53

175

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Proper definition of complex random variable.

Published on 05 Jul 2019 - 7:56

34

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Sigma-Algebra Making Random-variable Random

Published on 09 Jul 2019 - 14:48

154

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Regarding definition of Borel Sets is $ \sigma $ ring of sets

Published on 25 Mar 2026 - 3:24

446

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Synthetic measure theory with quasi-borel spaces

Published on 27 Aug 2019 - 3:47

309

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upper bound of outer measure on compact support of continuous function

Published on 08 Sep 2019 - 18:32

1.2k

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Use the fact that a lower semi-continuous function is Borel measurable to conclude every continuous function is Borel measurable

Published on 12 Sep 2019 - 20:28

52

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Extension to Borel measure

Published on 18 Sep 2019 - 13:24

138

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Can a Borel Measurable function be surjective?

Published on 18 Sep 2019 - 19:04

List Question

$g: [0, 1] \rightarrow [0, \infty]$ such that $\int_{x}^{y} g \leq M(y-x)$ for all $x < y \in [0, 1]$ then $g \leq M$ a.e.

Riesz-Markov Theorem Proof exercise from Stein and Shakarchi

$L^{p}$ is separable for second countable space

Derivatives in the space of finite signed measures.

Borel regular implies inner regular and outer regular

Measures which are invariant under a group action are unique

Measure of dense $G_\delta$ set

Proper definition of complex random variable.

Sigma-Algebra Making Random-variable Random

Regarding definition of Borel Sets is $ \sigma $ ring of sets

Synthetic measure theory with quasi-borel spaces

upper bound of outer measure on compact support of continuous function

Use the fact that a lower semi-continuous function is Borel measurable to conclude every continuous function is Borel measurable

Extension to Borel measure

Can a Borel Measurable function be surjective?

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