List questions from lebesgue-measure

Published on 13 Apr 2026 - 1:50

67

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Calculating an integral depending on a parameter

Published on 14 Apr 2026 - 1:41

55

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An application of the differentiation under the integral sign

Published on 14 Apr 2026 - 1:43

142

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About the different types of convergence of Measure Theory

Published on 12 Apr 2026 - 2:46

88

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Prove that simple functions are not dense in weak $L^{p,\infty}$

Published on 29 Apr 2026 - 3:08

64

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Considering the Lebesgue measure on $\mathbb{R}$, find $f_n(x)$ such that $|f_n|_1\rightarrow 0$ but $\limsup f(x)=\infty$ for all $x$.

Published on 16 Apr 2026 - 14:48

112

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What's the meaning of this sentence in PMA of Rudin?

Published on 16 Apr 2026 - 15:40

40

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Calculating a series with the Beppo-Levi Theorem

Published on 14 Apr 2026 - 3:27

80

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Prove $\nu$ is absolutely continuous to Lebesgue measure if and only if $f$ is absolutely continuous.

Published on 12 Apr 2026 - 0:31

91

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Density of distance from origin in a general disc

Published on 13 Apr 2026 - 6:58

56

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What do this three dots (...) mean in PMA Rudin?

Published on 13 Apr 2026 - 4:19

186

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If $u \notin L^p[0,1]$, can we find some $w \in L^{\frac{p}{p-1}}[0,1]$ such that $\int_0^1 u \cdot w = \infty$?

Published on 14 Apr 2026 - 23:12

44

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Strict positivity of convolution integral

Published on 10 Apr 2026 - 13:46

47

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$\int_{[x,+\infty]}^{}f\,d\lambda\to 0 \,\,\, ,as\,\,\, x\to +\infty$

Published on 14 Apr 2026 - 3:27

55

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Is a measure, whose distributional derivative is a measure, absolutely continuous wrt Lebesgue?

Published on 25 Mar 2026 - 23:09

List Question

A basic question about $H^1(\Omega)$ Sobolev space

Calculating an integral depending on a parameter

An application of the differentiation under the integral sign

About the different types of convergence of Measure Theory

Prove that simple functions are not dense in weak $L^{p,\infty}$

Considering the Lebesgue measure on $\mathbb{R}$, find $f_n(x)$ such that $|f_n|_1\rightarrow 0$ but $\limsup f(x)=\infty$ for all $x$.

What's the meaning of this sentence in PMA of Rudin?

Calculating a series with the Beppo-Levi Theorem

Prove $\nu$ is absolutely continuous to Lebesgue measure if and only if $f$ is absolutely continuous.

Density of distance from origin in a general disc

What do this three dots (...) mean in PMA Rudin?

If $u \notin L^p[0,1]$, can we find some $w \in L^{\frac{p}{p-1}}[0,1]$ such that $\int_0^1 u \cdot w = \infty$?

Strict positivity of convolution integral

$\int_{[x,+\infty]}^{}f\,d\lambda\to 0 \,\,\, ,as\,\,\, x\to +\infty$

Is a measure, whose distributional derivative is a measure, absolutely continuous wrt Lebesgue?

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