List questions from lebesgue-integral

Published on 11 Apr 2026 - 5:50

5.6k

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Are $1/\sqrt{x}$ or $1/x$ Lebesgue integrable on $(0,1)$? If so, why?

Published on 15 Apr 2026 - 10:01

435

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Weakly convergence in $W^{1,p}_0$ and strong convergence in $L^p$

Published on 15 Apr 2026 - 23:37

93

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$L^2$ and $L^1$ space problem

Published on 16 Apr 2026 - 3:52

1.6k

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Lebesgue integral of absolute value of sequence of functions

Published on 12 Apr 2026 - 1:08

195

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Prove weak derivative commutes with difference quotient

Published on 17 Apr 2026 - 10:20

502

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Upper Lebesgue sum with a new partition

Published on 10 Apr 2026 - 16:48

1.7k

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Lebesgue integral and iterated integral

Published on 09 Apr 2026 - 7:41

1.1k

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Is there a notion of indefinite Lebesgue integral?

Published on 12 Apr 2026 - 17:04

1.3k

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Showing $\int_E f=\lim_{n\to\infty}\int_E f_n$ for all measurable $E$

Published on 16 Apr 2026 - 8:13

75

Views

Lebesgue Integrable functions

Published on 11 Apr 2026 - 20:45

95

Views

Checking $g(x)=\sum_{n=1}^{\infty}2^{-n}f(x-r_n)\in L_1$ for $r_i\in\mathbb{Q}$

Published on 15 Apr 2026 - 4:30

26

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Convergence in absence of DCT

Published on 11 Apr 2026 - 20:58

2.2k

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What does it mean when $\sigma$ is discriminatory?

Published on 10 Apr 2026 - 23:47

134

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Application of dominated convergence theorem- find limit

Published on 12 Apr 2026 - 6:53

List Question

Confused about switching Lebesgue integrals for Riemann integrals

Are $1/\sqrt{x}$ or $1/x$ Lebesgue integrable on $(0,1)$? If so, why?

Weakly convergence in $W^{1,p}_0$ and strong convergence in $L^p$

$L^2$ and $L^1$ space problem

Lebesgue integral of absolute value of sequence of functions

Prove weak derivative commutes with difference quotient

Upper Lebesgue sum with a new partition

Lebesgue integral and iterated integral

Is there a notion of indefinite Lebesgue integral?

Showing $\int_E f=\lim_{n\to\infty}\int_E f_n$ for all measurable $E$

Lebesgue Integrable functions

Checking $g(x)=\sum_{n=1}^{\infty}2^{-n}f(x-r_n)\in L_1$ for $r_i\in\mathbb{Q}$

Convergence in absence of DCT

What does it mean when $\sigma$ is discriminatory?

Application of dominated convergence theorem- find limit

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