Question

$f$ is Lipschitz and $X$ have measure zero. Show that $f(X)$ has measure zero too.

score 498 · Answer 1 · 2019-05-21 15:18:16

498

Views

$f$ is Lipschitz and $X$ have measure zero. Show that $f(X)$ has measure zero too.

Published on 21 May 2019 - 15:18

score 88 · Answer 2 · 2026-03-30 00:04:14

88

Views

Is the Lebesgue integral equal to the Lebesgue measure of the enclosed region?

Published on 30 Mar 2026 - 0:04

score 198 · Answer 3 · 2019-05-22 08:50:16

198

Views

About convergence in measure

Published on 22 May 2019 - 8:50

score 140 · Answer 4 · 2026-03-31 15:38:39

140

Views

If $u \in L^\infty((0,T)\times \Omega)$, does it follow that $u(t) \in L^\infty(\Omega)$ for a.e $t$?

Published on 31 Mar 2026 - 15:38

score 246 · Answer 5 · 2026-02-23 04:57:47

246

Views

Riesz Representation Theorem measure is absolutely continuos w.r.t. the Lebesgue measure?

Published on 23 Feb 2026 - 4:57

score 56 · Answer 6 · 2019-05-24 04:44:11

56

Views

need an example about absolutely continuous measure

Published on 24 May 2019 - 4:44

score 51 · Answer 7 · 2026-03-30 15:29:25

51

Views

Is it possible to conclude a $L^1$ function 0 almost everywhere using it fourier transformation?

Published on 30 Mar 2026 - 15:29

score 1.3k · Answer 8 · 2019-05-26 20:32:42

1.3k

Views

Showing that the unit circle has measure zero

Published on 26 May 2019 - 20:32

score 43 · Answer 9 · 2019-05-28 03:30:28

43

Views

Measure of compact sets $C_{1}$ and $C_{2}$ given that $m(C_{1} \cap (C_{2}+x)) = m(C_{2} \cap (C_{1} + x))=0$ for any real number $x$.

Published on 28 May 2019 - 3:30

score 131 · Answer 10 · 2026-03-30 01:46:40

131

Views

Differentiability of Functions Defined by Lebesgue Integrals

Published on 30 Mar 2026 - 1:46

score 38 · Answer 11 · 2019-05-28 15:08:22

38

Views

A measurable function that is not continuous at all point in the domain?

Published on 28 May 2019 - 15:08

score 145 · Answer 12 · 2019-05-28 18:16:18

145

Views

There are no Lebesgue measurable sets $A,B \subset \mathbb{R}$ such that $A \times B \subset S$.

Published on 28 May 2019 - 18:16

score 93 · Answer 13 · 2026-03-30 01:50:13

93

Views

Relation between the measures of two sets defined via Lebesgue integration

Published on 30 Mar 2026 - 1:50

score 72 · Answer 14 · 2019-05-29 15:57:55

72

Views

let $f : [a,b] \to \mathbb{R}$ be measurable and $E_n = (x \in (a,b) : n-1 \leq |f(x)| < n )$. When is it Lebesgue integrable?

Published on 29 May 2019 - 15:57

score 108 · Answer 15 · 2019-05-29 16:16:26

108

Views

Positive Lebesgue measure Poset - $\sigma$-linked

Published on 29 May 2019 - 16:16

List Question

$f$ is Lipschitz and $X$ have measure zero. Show that $f(X)$ has measure zero too.

Is the Lebesgue integral equal to the Lebesgue measure of the enclosed region?

About convergence in measure

If $u \in L^\infty((0,T)\times \Omega)$, does it follow that $u(t) \in L^\infty(\Omega)$ for a.e $t$?

Riesz Representation Theorem measure is absolutely continuos w.r.t. the Lebesgue measure?

need an example about absolutely continuous measure

Is it possible to conclude a $L^1$ function 0 almost everywhere using it fourier transformation?

Showing that the unit circle has measure zero

Measure of compact sets $C_{1}$ and $C_{2}$ given that $m(C_{1} \cap (C_{2}+x)) = m(C_{2} \cap (C_{1} + x))=0$ for any real number $x$.

Differentiability of Functions Defined by Lebesgue Integrals

A measurable function that is not continuous at all point in the domain?

There are no Lebesgue measurable sets $A,B \subset \mathbb{R}$ such that $A \times B \subset S$.

Relation between the measures of two sets defined via Lebesgue integration

let $f : [a,b] \to \mathbb{R}$ be measurable and $E_n = (x \in (a,b) : n-1 \leq |f(x)| < n )$. When is it Lebesgue integrable?

Positive Lebesgue measure Poset - $\sigma$-linked

Trending Questions

Popular # Hahtags

Popular Questions