Question

Why this $f_r(x)$ is $\mu$-measurable?

score 112 · Answer 1 · 2026-04-16 12:36:32

112

Views

Why this $f_r(x)$ is $\mu$-measurable?

Published on 16 Apr 2026 - 12:36

score 40 · Answer 2 · 2026-04-16 17:43:43

40

Views

Why is this true that $\left(d(Q)\right)^n=\left(\sqrt{n}\right)^n\mathcal{L}_n(Q)$ for any cube $Q$ in $\mathbb{R}^n$?

Published on 16 Apr 2026 - 17:43

score 446 · Answer 3 · 2026-04-11 18:52:08

446

Views

Egorov's Theorem: Royden / Fitzpatrick

Published on 11 Apr 2026 - 18:52

score 366 · Answer 4 · 2026-04-11 17:04:04

366

Views

measures defined by shifting is absolutely continuous with respect to Lebesgue measure

Published on 11 Apr 2026 - 17:04

score 135 · Answer 5 · 2026-04-14 08:26:29

135

Views

Dense yet scarse: rational numbers.

Published on 14 Apr 2026 - 8:26

score 300 · Answer 6 · 2026-04-15 17:56:23

300

Views

If $E \subset \mathbb R$ is Lebesgue measurable, does there exist a closed set $F\subset E :\ m(E)=m(F)$?

Published on 15 Apr 2026 - 17:56

score 5.4k · Answer 7 · 2026-04-14 05:16:55

5.4k

Views

Approximating a Lebesgue measurable set by a finite union of intervals

Published on 14 Apr 2026 - 5:16

score 1k · Answer 8 · 2026-04-10 10:13:07

1k

Views

Can we judge closedness of vitali set?

Published on 10 Apr 2026 - 10:13

score 644 · Answer 9 · 2026-04-14 11:07:45

644

Views

Can the graph of a non-measurable function be a zero set?

Published on 14 Apr 2026 - 11:07

score 452 · Answer 10 · 2026-04-11 23:35:48

452

Views

Computing the measure of a set difference

Published on 11 Apr 2026 - 23:35

score 356 · Answer 11 · 2026-04-17 16:47:22

356

Views

$f: \mathbb R^n \to \mathbb R$ be Lebesgue measurable , then there is a Borel measurable $g: \mathbb R^n \to \mathbb R$ such that $f=g$ a.e.?

Published on 17 Apr 2026 - 16:47

score 176 · Answer 12 · 2026-04-13 21:36:13

176

Views

Can the level set of the resolvent norm be constant on a set of positive measure?

Published on 13 Apr 2026 - 21:36

score 75 · Answer 13 · 2026-04-10 19:02:13

75

Views

Proof that function $\mu(y,A)$ is a probability measure for a.e. $y$

Published on 10 Apr 2026 - 19:02

score 234 · Answer 14 · 2026-04-14 19:57:56

234

Views

Vitali Theorem Proof

Published on 14 Apr 2026 - 19:57

score 194 · Answer 15 · 2026-04-15 18:47:43

194

Views

If $E\subseteq \mathbb{R}$ is measurable and $\delta>0$ then there exists open set $U$ s.t. $\delta \mu(U)<\mu(E)$

Published on 15 Apr 2026 - 18:47

List Question

Why this $f_r(x)$ is $\mu$-measurable?

Why is this true that $\left(d(Q)\right)^n=\left(\sqrt{n}\right)^n\mathcal{L}_n(Q)$ for any cube $Q$ in $\mathbb{R}^n$?

Egorov's Theorem: Royden / Fitzpatrick

measures defined by shifting is absolutely continuous with respect to Lebesgue measure

Dense yet scarse: rational numbers.

If $E \subset \mathbb R$ is Lebesgue measurable, does there exist a closed set $F\subset E :\ m(E)=m(F)$?

Approximating a Lebesgue measurable set by a finite union of intervals

Can we judge closedness of vitali set?

Can the graph of a non-measurable function be a zero set?

Computing the measure of a set difference

$f: \mathbb R^n \to \mathbb R$ be Lebesgue measurable , then there is a Borel measurable $g: \mathbb R^n \to \mathbb R$ such that $f=g$ a.e.?

Can the level set of the resolvent norm be constant on a set of positive measure?

Proof that function $\mu(y,A)$ is a probability measure for a.e. $y$

Vitali Theorem Proof

If $E\subseteq \mathbb{R}$ is measurable and $\delta>0$ then there exists open set $U$ s.t. $\delta \mu(U)<\mu(E)$

Trending Questions

Popular # Hahtags

Popular Questions