List questions from lebesgue-measure

Published on 29 Mar 2026 - 22:13

72

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A limit of an integral of a quotient related to fractional Sobolev space

Published on 29 Mar 2026 - 22:13

100

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preservation of stochastic dominance by convolution with normal distribution

Published on 01 Apr 2026 - 9:31

50

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Lebesgue measure of $\mathcal{D}_{q_2}$

Published on 15 May 2019 - 7:28

72

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Evaluate $\lim_{n \to \infty}\int_{0}^{1}\frac{n+\cos^n(e^x)}{4n+x^4} dx$

Published on 28 Mar 2026 - 4:53

69

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Prove that $\int_a^b[\int_Xf(x,t)d\mu(x)]dt=\int_X[\int_a^b f(x,t)dt]d\mu(x)$

Published on 30 Mar 2026 - 0:04

484

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Why can simple functions not take the value $\infty$?

Published on 25 Mar 2026 - 18:52

70

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Positive measurable set contains some number pair

Published on 17 May 2019 - 22:38

439

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If $f_n \to f$ in $L^p$ and $g_n \xrightarrow{a.e.} g$ in $L^\infty$ then $f_ng_n \to fg$ in $L^p$

Published on 30 Mar 2026 - 0:04

360

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Lebesgue-measure of one element set is zero

Published on 19 May 2019 - 0:20

46

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What is wrong with this product of measures in the $m\to \infty$ limit?

Published on 23 Feb 2026 - 4:41

50

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How to decribe all bounded Borel functions where Lebesgue integral is zero

Published on 25 Mar 2026 - 7:43

94

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What is $\int_0 ^1 \int_x^1 \frac{f(t)}{t} \text dt \text dx $ if $\int f =1$?

Published on 30 Mar 2026 - 0:04

120

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Bolzano Weierstrass theorem in Lebesgue measure

Published on 20 May 2019 - 0:01

93

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Proving Borel measurability of a function.

Published on 25 Mar 2026 - 18:46

List Question

Sequence of measures in L-p Spaces

A limit of an integral of a quotient related to fractional Sobolev space

preservation of stochastic dominance by convolution with normal distribution

Lebesgue measure of $\mathcal{D}_{q_2}$

Evaluate $\lim_{n \to \infty}\int_{0}^{1}\frac{n+\cos^n(e^x)}{4n+x^4} dx$

Prove that $\int_a^b[\int_Xf(x,t)d\mu(x)]dt=\int_X[\int_a^b f(x,t)dt]d\mu(x)$

Why can simple functions not take the value $\infty$?

Positive measurable set contains some number pair

If $f_n \to f$ in $L^p$ and $g_n \xrightarrow{a.e.} g$ in $L^\infty$ then $f_ng_n \to fg$ in $L^p$

Lebesgue-measure of one element set is zero

What is wrong with this product of measures in the $m\to \infty$ limit?

How to decribe all bounded Borel functions where Lebesgue integral is zero

What is $\int_0 ^1 \int_x^1 \frac{f(t)}{t} \text dt \text dx $ if $\int f =1$?

Bolzano Weierstrass theorem in Lebesgue measure

Proving Borel measurability of a function.

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