List questions from lebesgue-measure

Published on 30 Mar 2026 - 9:52

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Proof of translation and linear transformation invariance of R_k

Published on 25 Mar 2026 - 11:21

128

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Existence of a particular inverse transformation

Published on 27 Mar 2026 - 7:35

112

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$ f\in C_{0}^{\infty} \Rightarrow f\in L^m $?

Published on 29 Mar 2026 - 20:06

1.1k

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Hahn Decomposition Theorem In Folland

Published on 31 Mar 2019 - 8:28

94

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Approximate the integral of an unsigned measurable function

Published on 25 Mar 2026 - 17:18

78

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Does there exist a compactly supported integrable function with infinite Coulomb energy?

Published on 25 Mar 2026 - 12:42

1.9k

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Prove that for each $\epsilon>0$, there exist a compact $K\subset E$ such that $m(E\cap K^c)<\epsilon$

Published on 31 Mar 2026 - 12:21

50

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Let $g: \mathbb{R} \to \overline{\mathbb{R}}$ be integrable. If $\int_K g \, d m = 0$ for every compact $K \subset \mathbb{R}$, then $g = 0$ a.e.

Published on 29 Mar 2026 - 14:06

56

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Tips to show $\lim_{n \to \infty} \int_{X}|f|^{\frac{1}{n}}d\mu=\mu(\{f\neq0\})$

Published on 29 Mar 2026 - 15:33

23

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Lebesgue Measure Question - Let $T$ be Lebesgue measurable set:

Published on 05 Apr 2019 - 6:00

107

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Question about Lemma 3.15 in Real Analysis; Modern Techniques and Their Applications by Folland, G. B.,

Published on 05 Apr 2019 - 8:49

65

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Do injective outer measure-preserving functions preserve measurable sets?

Published on 06 Apr 2019 - 5:01

86

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Transformation between two measures

Published on 26 Mar 2026 - 22:19

36

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$d(x,E^c) > \frac{1}{j}$ is compact if $E$ is open.

Published on 31 Mar 2026 - 14:24

List Question

A question about measure of symmetric difference of sets

Proof of translation and linear transformation invariance of R_k

Existence of a particular inverse transformation

$ f\in C_{0}^{\infty} \Rightarrow f\in L^m $?

Hahn Decomposition Theorem In Folland

Approximate the integral of an unsigned measurable function

Does there exist a compactly supported integrable function with infinite Coulomb energy?

Prove that for each $\epsilon>0$, there exist a compact $K\subset E$ such that $m(E\cap K^c)<\epsilon$

Let $g: \mathbb{R} \to \overline{\mathbb{R}}$ be integrable. If $\int_K g \, d m = 0$ for every compact $K \subset \mathbb{R}$, then $g = 0$ a.e.

Tips to show $\lim_{n \to \infty} \int_{X}|f|^{\frac{1}{n}}d\mu=\mu(\{f\neq0\})$

Lebesgue Measure Question - Let $T$ be Lebesgue measurable set:

Question about Lemma 3.15 in Real Analysis; Modern Techniques and Their Applications by Folland, G. B.,

Do injective outer measure-preserving functions preserve measurable sets?

Transformation between two measures

$d(x,E^c) > \frac{1}{j}$ is compact if $E$ is open.

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