List questions from lebesgue-integral

Published on 13 Apr 2026 - 18:01

27

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convergence of truncated sequence in $L_{1}$

Published on 14 Dec 2023 - 9:22

63

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If $u(.,t) \in H^2(\mathbb{R})$, then $u (.,t) \in C^1(\mathbb{R})$?

Published on 28 Mar 2026 - 8:49

35

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An Integral formula - change of variables

Published on 09 Apr 2026 - 9:56

40

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Showing that if $f=0$ almost, then $\int_X f=0$

Published on 17 Dec 2023 - 15:45

26

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$H^1(\mathbb{R})$ function has a finite moment?

Published on 12 Apr 2026 - 17:06

50

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$\|f\|_{L^{\infty}(D(x,1))}\leq g(x),\forall x\in\mathbb{R}$ implies $f\leq g$ a.e.

Published on 18 Dec 2023 - 8:11

177

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A simple way to prove that integral is continuous

Published on 11 Apr 2026 - 15:28

53

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Constructing a Radon measure from the integral of a function w.r.t another Radon measure

Published on 25 Mar 2026 - 21:49

58

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Partial distributional derivatives are in $L^1_{loc}$ so the distribution is also

Published on 02 Apr 2026 - 14:44

26

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The quotient of two integrals is non-increasing

Published on 13 Apr 2026 - 0:21

40

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$ g $ is amost everywhere unique.

Published on 11 Apr 2026 - 3:00

118

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Problem on continuity of integral on union of balls

Published on 11 Apr 2026 - 6:05

41

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Is the derivative of a Lebesgue integral equal to the original function being integrated almost everywhere?

Published on 13 Apr 2026 - 2:28

90

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If $f(x)=g(x)$ except for a specific point, how to prove that $\int_{-\infty}^{\infty}f(x) dx =\int_{-\infty}^{\infty}g(x) dx$?

Published on 26 Dec 2023 - 13:27

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On the layer cake representation

convergence of truncated sequence in $L_{1}$

If $u(.,t) \in H^2(\mathbb{R})$, then $u (.,t) \in C^1(\mathbb{R})$?

An Integral formula - change of variables

Showing that if $f=0$ almost, then $\int_X f=0$

$H^1(\mathbb{R})$ function has a finite moment?

$\|f\|_{L^{\infty}(D(x,1))}\leq g(x),\forall x\in\mathbb{R}$ implies $f\leq g$ a.e.

A simple way to prove that integral is continuous

Constructing a Radon measure from the integral of a function w.r.t another Radon measure

Partial distributional derivatives are in $L^1_{loc}$ so the distribution is also

The quotient of two integrals is non-increasing

$ g $ is amost everywhere unique.

Problem on continuity of integral on union of balls

Is the derivative of a Lebesgue integral equal to the original function being integrated almost everywhere?

If $f(x)=g(x)$ except for a specific point, how to prove that $\int_{-\infty}^{\infty}f(x) dx =\int_{-\infty}^{\infty}g(x) dx$?

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