List questions from borel-measures

36

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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 Apr 2026 - 5:42

802

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Riesz-Markov Theorem Proof exercise from Stein and Shakarchi

Published on 11 Apr 2026 - 12:00

387

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

Published on 10 May 2026 - 14:46

129

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Derivatives in the space of finite signed measures.

Published on 09 Apr 2026 - 7:51

343

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Borel regular implies inner regular and outer regular

Published on 14 Apr 2026 - 19:13

71

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Measures which are invariant under a group action are unique

Published on 11 Apr 2026 - 11:21

406

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Measure of dense $G_\delta$ set

Published on 13 Apr 2026 - 11:02

178

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Proper definition of complex random variable.

Published on 10 Apr 2026 - 12:02

37

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Sigma-Algebra Making Random-variable Random

Published on 12 Apr 2026 - 3:36

156

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

Published on 14 Apr 2026 - 7:09

449

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Synthetic measure theory with quasi-borel spaces

Published on 12 Apr 2026 - 7:31

312

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upper bound of outer measure on compact support of continuous function

Published on 10 Apr 2026 - 0:35

1.3k

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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 14 Apr 2026 - 14:41

55

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Extension to Borel measure

Published on 12 Apr 2026 - 15:05

141

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Can a Borel Measurable function be surjective?

Published on 10 Apr 2026 - 10:10

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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