List questions from lebesgue-integral

Published on 01 Feb 2023 - 1:17

82

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How to show this function is integrable?

Published on 11 Apr 2026 - 8:20

45

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Relationship between $\ell^p$-norm and $L^p$-norm

Published on 11 Apr 2026 - 2:44

81

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Calculating the flux of the vector field + Gauss

Published on 11 Apr 2026 - 16:18

26

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$\int_{\mathbb{R}}|p(v-r,x)-p(u-r,x)|dx \leq C\frac{v-u}{u-r}$

Published on 06 Feb 2023 - 16:10

126

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The collection of compactly supported continuous functions is dense in $L^1(\mathbb{R}^d)$.

Published on 07 Feb 2023 - 11:34

99

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Show that $f(x):=e^{-x^{4}}$ is Lebesgue integrable

Published on 01 Apr 2026 - 6:28

111

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Proving Lebesgue measure is translation invariant

Published on 09 Feb 2023 - 18:00

78

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Injectivity and surjectivity of a linear bounded operator $T : L^2(1, +\infty) \to \ell^1$

Published on 11 Apr 2026 - 5:13

132

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What exactly happens when we assume the convention $0 \times \infty := 0$?

Published on 10 Feb 2023 - 11:23

52

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DCT application

Published on 10 Feb 2023 - 14:16

53

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Show $\forall t \in \mathbb{R}$ we have : $F(t) = \int_B \mathbb{1}_A (x-t) d\lambda(x)$

Published on 10 Feb 2023 - 16:43

32

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Integral limit for $L^2([0,1])$ functions

Published on 11 Apr 2026 - 6:19

63

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Proving an inequality for a Lebesgue integrable function

Published on 11 Apr 2026 - 9:17

140

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Deciding whether $f$ is Lebesgue integrable

Published on 29 Mar 2026 - 18:13

List Question

Representing $L^p$ function as sum of $L^1$ and $L^{p_2}$

How to show this function is integrable?

Relationship between $\ell^p$-norm and $L^p$-norm

Calculating the flux of the vector field + Gauss

$\int_{\mathbb{R}}|p(v-r,x)-p(u-r,x)|dx \leq C\frac{v-u}{u-r}$

The collection of compactly supported continuous functions is dense in $L^1(\mathbb{R}^d)$.

Show that $f(x):=e^{-x^{4}}$ is Lebesgue integrable

Proving Lebesgue measure is translation invariant

Injectivity and surjectivity of a linear bounded operator $T : L^2(1, +\infty) \to \ell^1$

What exactly happens when we assume the convention $0 \times \infty := 0$?

DCT application

Show $\forall t \in \mathbb{R}$ we have : $F(t) = \int_B \mathbb{1}_A (x-t) d\lambda(x)$

Integral limit for $L^2([0,1])$ functions

Proving an inequality for a Lebesgue integrable function

Deciding whether $f$ is Lebesgue integrable

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