Question

Lebesgue measure of a compact set and a line

score 115 · Answer 1 · 2026-04-11 19:34:29

115

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Lebesgue measure of a compact set and a line

Published on 11 Apr 2026 - 19:34

score 201 · Answer 2 · 2026-04-16 13:39:23

201

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Show $f$ : integrable $\Leftrightarrow$ $ \sum_{n=1}^{\infty} \mu\left( \{ x \in E : |f(x)| \ge n \} \right) < \infty $

Published on 16 Apr 2026 - 13:39

score 508 · Answer 3 · 2026-04-14 01:09:02

508

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A measure zero uncountable set for the Lebesgue-Stieltjes measure $\mu_F$.

Published on 14 Apr 2026 - 1:09

score 89 · Answer 4 · 2026-04-12 00:57:01

89

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Finding $F$ from a Lebesgue-Stieltjes Measure

Published on 12 Apr 2026 - 0:57

score 58 · Answer 5 · 2026-04-08 23:27:48

58

Views

Adaptedness of Solution to SPDE

Published on 08 Apr 2026 - 23:27

score 149 · Answer 6 · 2026-04-11 17:43:47

149

Views

Extension of measures: doubts on a proof.

Published on 11 Apr 2026 - 17:43

score 131 · Answer 7 · 2026-04-10 03:00:53

131

Views

How to deal with sets of measure zero?

Published on 10 Apr 2026 - 3:00

score 53 · Answer 8 · 2026-04-14 15:42:40

53

Views

$\lim_{h \to 0^+} \frac{\mathcal L (f^{-1}([x,x+h)))}{h}$ where $f^{-1}$ is the preimage of a Lipschitz function

Published on 14 Apr 2026 - 15:42

score 494 · Answer 9 · 2026-04-11 00:28:00

494

Views

Is the sum of such two banach spaces also a banach space?

Published on 11 Apr 2026 - 0:28

score 378 · Answer 10 · 2026-04-15 15:14:34

378

Views

Lebesgue Stieltjes measure unique for invariance on $\mathscr{B}_\mathbb{R}$

Published on 15 Apr 2026 - 15:14

score 84 · Answer 11 · 2026-04-08 18:03:57

84

Views

A question in n-dimensional Lebesgue integral

Published on 08 Apr 2026 - 18:03

score 613 · Answer 12 · 2026-04-07 20:56:06

613

Views

Does every set of positive measure contain an uncountable null set?

Published on 07 Apr 2026 - 20:56

score 481 · Answer 13 · 2026-04-11 09:04:45

481

Views

Understanding the proof $\mu$ is invariant then $\mu$ is a linear transformation of Lebesgue measure

Published on 11 Apr 2026 - 9:04

score 87 · Answer 14 · 2026-04-16 06:55:50

87

Views

$f$ is $\mu$-measurable $\Rightarrow$ $\textrm{sgn}f$ is $\mu$-measurable

Published on 16 Apr 2026 - 6:55

score 33 · Answer 15 · 2026-04-16 05:04:33

Why measurability if $f^{-1}(B)\in \mathcal M$ for $B\in \mathcal B$ and not $f^{-1}(M)\in \mathcal M$ for $M\in \mathcal M$?

List Question

Lebesgue measure of a compact set and a line

Show $f$ : integrable $\Leftrightarrow$ $ \sum_{n=1}^{\infty} \mu\left( \{ x \in E : |f(x)| \ge n \} \right) < \infty $

A measure zero uncountable set for the Lebesgue-Stieltjes measure $\mu_F$.

Finding $F$ from a Lebesgue-Stieltjes Measure

Adaptedness of Solution to SPDE

Extension of measures: doubts on a proof.

How to deal with sets of measure zero?

$\lim_{h \to 0^+} \frac{\mathcal L (f^{-1}([x,x+h)))}{h}$ where $f^{-1}$ is the preimage of a Lipschitz function

Is the sum of such two banach spaces also a banach space?

Lebesgue Stieltjes measure unique for invariance on $\mathscr{B}_\mathbb{R}$

A question in n-dimensional Lebesgue integral

Does every set of positive measure contain an uncountable null set?

Understanding the proof $\mu$ is invariant then $\mu$ is a linear transformation of Lebesgue measure

$f$ is $\mu$-measurable $\Rightarrow$ $\textrm{sgn}f$ is $\mu$-measurable

Why measurability if $f^{-1}(B)\in \mathcal M$ for $B\in \mathcal B$ and not $f^{-1}(M)\in \mathcal M$ for $M\in \mathcal M$?

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