List questions from lebesgue-measure

Published on 06 May 2019 - 16:28

616

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Non-trivial examples of non-discriminatory functions

Published on 25 Mar 2026 - 14:22

400

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Is there a Lebesgue measurable subset $A \subset R$ such that for every interval $(a,b)$ we have $0 < \lambda(A\cap(a,b))< (b-a)$

Published on 06 May 2019 - 23:21

406

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Holomorphic function on $\mathbb{C}^n$ vanishing on a positive Lebesgue measure set

Published on 07 May 2019 - 7:25

139

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If $f\in C^1$, are we able to show that $\partial\{f=0\}$ is a null set?

Published on 25 Mar 2026 - 6:04

97

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Prove that if $E\cap F=\emptyset$ and $X=E\cup F$ then $\int_Xfd\mu=\int_Efd\mu+\int_Ffd\mu$

Published on 25 Mar 2026 - 18:49

56

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$Y = EX\mid G$ then $E (X-Y)Y = 0$

Published on 30 Mar 2026 - 21:53

476

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Is the composition of two Lebesgue Measurable functions necessarily Lebesgue measurable?

Published on 09 May 2019 - 16:27

72

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Is $f$ measurable function?

Published on 25 Mar 2026 - 18:45

1.3k

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Lebesgue measure zero vs Jordan content zero

Published on 10 May 2019 - 15:51

78

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Does there exist $A \subset \mathbb{R}$, satisfying the following three conditions?

Published on 10 May 2019 - 17:02

256

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Question on Lebesgue measure and outer measure

Published on 25 Mar 2026 - 3:23

59

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Convergence of integral with compact support

Published on 29 Mar 2026 - 22:14

75

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An "elementary" proof that "small" subsets can not exhaust the interval?

Published on 12 May 2019 - 11:28

71

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Prove that $X_n \to X$ in $L^{2r}$ and $Y_n \to Y$ in $L^{2r}$ then $X_nY_n \to XY$ in $L^r$

Published on 31 Mar 2026 - 0:01

List Question

measure of intervals

Non-trivial examples of non-discriminatory functions

Is there a Lebesgue measurable subset $A \subset R$ such that for every interval $(a,b)$ we have $0 < \lambda(A\cap(a,b))< (b-a)$

Holomorphic function on $\mathbb{C}^n$ vanishing on a positive Lebesgue measure set

If $f\in C^1$, are we able to show that $\partial\{f=0\}$ is a null set?

Prove that if $E\cap F=\emptyset$ and $X=E\cup F$ then $\int_Xfd\mu=\int_Efd\mu+\int_Ffd\mu$

$Y = EX\mid G$ then $E (X-Y)Y = 0$

Is the composition of two Lebesgue Measurable functions necessarily Lebesgue measurable?

Is $f$ measurable function?

Lebesgue measure zero vs Jordan content zero

Does there exist $A \subset \mathbb{R}$, satisfying the following three conditions?

Question on Lebesgue measure and outer measure

Convergence of integral with compact support

An "elementary" proof that "small" subsets can not exhaust the interval?

Prove that $X_n \to X$ in $L^{2r}$ and $Y_n \to Y$ in $L^{2r}$ then $X_nY_n \to XY$ in $L^r$

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