Question

Measure-preserving transformation from separable metric space into an interval $[0;1]$.

score 91 · Answer 1 · 2026-03-25 20:18:26

91

Views

Measure-preserving transformation from separable metric space into an interval $[0;1]$.

Published on 25 Mar 2026 - 20:18

score 90 · Answer 2 · 2026-04-13 08:41:00

90

Views

Why regularity is important for a Borel measure?

Published on 13 Apr 2026 - 8:41

score 75 · Answer 3 · 2026-04-12 17:01:51

75

Views

Proving that support of a measure is a carrier

Published on 12 Apr 2026 - 17:01

score 177 · Answer 4 · 2026-04-09 07:10:55

177

Views

The isomorphism theorem of measure theory for atomic measures.

Published on 09 Apr 2026 - 7:10

score 89 · Answer 5 · 2026-04-14 22:12:35

89

Views

Does the "precise representative" $f^*$ uniquely represent classes in $L^1_{loc}$?

Published on 14 Apr 2026 - 22:12

score 126 · Answer 6 · 2026-04-08 21:58:54

126

Views

Convergence in weak topology implies pointwise convergence for a subsequence

Published on 08 Apr 2026 - 21:58

score 42 · Answer 7 · 2026-03-25 11:01:46

42

Views

Does Fubini's theorem apply on this infinite region?

Published on 25 Mar 2026 - 11:01

score 116 · Answer 8 · 2026-04-14 00:55:20

116

Views

How do I prove that all Jordan measurable sets in $\mathbb{R}$ are Lebesgue measurable?

Published on 14 Apr 2026 - 0:55

score 29 · Answer 9 · 2026-03-25 20:20:50

29

Views

Terminology and notation for the restriction of the Lebesgue measure on $\mathbb{R}^n$ to the Borel subsets of $\mathbb{R}^n$

Published on 25 Mar 2026 - 20:20

score 67 · Answer 10 · 2026-04-13 12:49:25

67

Views

How to show that a given function doesn't belong to some $L^p$ space?

Published on 13 Apr 2026 - 12:49

score 103 · Answer 11 · 2026-04-16 07:53:11

103

Views

Let $A\subset(1, \infty)$ satisfy the following property : $x \in A$ iff $x^2 \in A$. What are the possible values of $m(A)$ if $A$ is measurable?

Published on 16 Apr 2026 - 7:53

score 47 · Answer 12 · 2026-04-13 07:04:48

47

Views

9K Bartle $A\subset B$ with $l^*(B\setminus A)=0$

Published on 13 Apr 2026 - 7:04

score 102 · Answer 13 · 2026-04-11 16:20:28

102

Views

Is there an inequality to compare the essential supremum of a function to the function itself?

Published on 11 Apr 2026 - 16:20

score 57 · Answer 14 · 2026-04-14 15:13:16

57

Views

Example of a set $A$ such that $\lambda(\partial A^\delta)>0$?

Published on 14 Apr 2026 - 15:13

score 75 · Answer 15 · 2026-04-12 08:44:58

75

Views

Extend the homeomorphism of Cantor set to a homeomorphism to unit interval.

Published on 12 Apr 2026 - 8:44

List Question

Measure-preserving transformation from separable metric space into an interval $[0;1]$.

Why regularity is important for a Borel measure?

Proving that support of a measure is a carrier

The isomorphism theorem of measure theory for atomic measures.

Does the "precise representative" $f^*$ uniquely represent classes in $L^1_{loc}$?

Convergence in weak topology implies pointwise convergence for a subsequence

Does Fubini's theorem apply on this infinite region?

How do I prove that all Jordan measurable sets in $\mathbb{R}$ are Lebesgue measurable?

Terminology and notation for the restriction of the Lebesgue measure on $\mathbb{R}^n$ to the Borel subsets of $\mathbb{R}^n$

How to show that a given function doesn't belong to some $L^p$ space?

Let $A\subset(1, \infty)$ satisfy the following property : $x \in A$ iff $x^2 \in A$. What are the possible values of $m(A)$ if $A$ is measurable?

9K Bartle $A\subset B$ with $l^*(B\setminus A)=0$

Is there an inequality to compare the essential supremum of a function to the function itself?

Example of a set $A$ such that $\lambda(\partial A^\delta)>0$?

Extend the homeomorphism of Cantor set to a homeomorphism to unit interval.

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