List questions from measure-theory

Published on 16 Apr 2026 - 12:06

429

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Question on the application of the Borel-Cantelli lemma

Published on 10 May 2026 - 17:14

102

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What extra conditions are needed to state $f = g, \mu-$a.e. if $\int_{X}fd\mu=\int_{X}gd\mu$

Published on 14 Apr 2026 - 11:12

847

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The cantor set $K$ contains no intervals

Published on 11 May 2026 - 3:49

36

Views

Uniqueness of transport maps

Published on 10 May 2026 - 18:21

46

Views

Disjoint closed disks with summable radii

Published on 04 May 2026 - 20:02

250

Views

Sigma algebra respect to random variables.

Published on 16 Apr 2026 - 11:39

90

Views

Determining normalizing constant of joint density function

Published on 13 Apr 2026 - 16:10

1k

Views

If $A$ and $B$ are closed, then $A+B$ is Borel

Published on 15 May 2026 - 4:14

354

Views

Why is the conditional expectation of an $L^{p}$-function again in $L^{p}$?

Published on 14 Apr 2026 - 16:59

1.2k

Views

independent variables implies integrability and same distribution

Published on 25 Mar 2026 - 11:08

55

Views

A question in set theory

Published on 10 Apr 2026 - 17:48

338

Views

Show that if $f$ is locally integrable and $\int\varphi f=0$ for all compactly supported $\varphi$, then $f=0$

Published on 16 Apr 2026 - 15:34

1.9k

Views

Prove that the interval [a, b] does not have measure zero

Published on 15 Apr 2026 - 4:45

254

Views

Given $0<a<1$, construct a Borel set with $\mu(A∩I)/\mu(I)=a$ for each open interval $I$

Published on 12 Apr 2026 - 1:10

List Question

Terence Tao's Construction of the Lebesgue-Stieltjes Measures

Question on the application of the Borel-Cantelli lemma

What extra conditions are needed to state $f = g, \mu-$a.e. if $\int_{X}fd\mu=\int_{X}gd\mu$

The cantor set $K$ contains no intervals

Uniqueness of transport maps

Disjoint closed disks with summable radii

Sigma algebra respect to random variables.

Determining normalizing constant of joint density function

If $A$ and $B$ are closed, then $A+B$ is Borel

Why is the conditional expectation of an $L^{p}$-function again in $L^{p}$?

independent variables implies integrability and same distribution

A question in set theory

Show that if $f$ is locally integrable and $\int\varphi f=0$ for all compactly supported $\varphi$, then $f=0$

Prove that the interval [a, b] does not have measure zero

Given $0<a<1$, construct a Borel set with $\mu(A∩I)/\mu(I)=a$ for each open interval $I$

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