List questions from lebesgue-integral

Published on 15 Apr 2026 - 1:13

89

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Need a counter example

Published on 29 Mar 2026 - 3:18

55

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Lebesgue integrable nonexample

Published on 13 Apr 2026 - 9:59

88

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Sequence of functions in $L^p$ and derivative

Published on 14 Apr 2026 - 18:37

131

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Extending measurable function from finite to $\sigma$-finite space.

Published on 10 Apr 2026 - 6:54

74

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For which $a$ does this integral converge?

Published on 13 Apr 2026 - 3:29

70

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Doubts about moving limit under integral

Published on 13 Apr 2026 - 11:05

953

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The meaning of "Need not hold" in Monotone convergence theorem for decreasing sequences

Published on 11 Apr 2026 - 1:40

110

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Multiple integral related to the volume of a convex body

Published on 13 Apr 2026 - 19:42

76

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Find $\lim_{n\to\infty}\int nf(t)\cos(tn)e^{-n|t|}dt$

Published on 15 Apr 2026 - 13:30

189

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Prove that a subset of $L^1$ is closed under pointwise convergence.

Published on 13 Apr 2026 - 19:10

202

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Lebesgue integral of the difference of two positive functions

Published on 14 Apr 2026 - 2:42

248

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function in $L_2$ space that is $f=0$ almost everywhere

Published on 29 Apr 2026 - 13:26

613

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if $\int|f_n| \rightarrow \int |f|$, then $\int |f-f_n| \rightarrow 0$

Published on 29 Apr 2026 - 13:29

93

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Prove $\|f\|_{L^p(E)} \rightarrow \|f\|_{L^{\infty}(E)}$ as $p \rightarrow \infty$

Published on 29 Apr 2026 - 13:27

List Question

Approximation by convolution and cut-off function

Need a counter example

Lebesgue integrable nonexample

Sequence of functions in $L^p$ and derivative

Extending measurable function from finite to $\sigma$-finite space.

For which $a$ does this integral converge?

Doubts about moving limit under integral

The meaning of "Need not hold" in Monotone convergence theorem for decreasing sequences

Multiple integral related to the volume of a convex body

Find $\lim_{n\to\infty}\int nf(t)\cos(tn)e^{-n|t|}dt$

Prove that a subset of $L^1$ is closed under pointwise convergence.

Lebesgue integral of the difference of two positive functions

function in $L_2$ space that is $f=0$ almost everywhere

if $\int|f_n| \rightarrow \int |f|$, then $\int |f-f_n| \rightarrow 0$

Prove $\|f\|_{L^p(E)} \rightarrow \|f\|_{L^{\infty}(E)}$ as $p \rightarrow \infty$

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