List questions from lebesgue-integral

58

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Existence of $h \in L^p$ function that satisfied $\int f(g-h) =0$ for $g$ measurable and $f \in L^q$

Published on 16 Apr 2026 - 11:44

85

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Is there a nice way to calculate $\int (1-x_3)^2$ over the hemisphere?

Published on 02 May 2026 - 18:30

849

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Using Fubini's theorem for Riemann integrals

Published on 10 May 2026 - 14:59

117

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Proof of Riesz-Fischer Theorem using the completeness of $L^1$ to infer completeness of $L^p$.

Published on 10 May 2026 - 17:21

553

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Integrals of simple functions that are equal almost everywhere.

Published on 12 Apr 2026 - 21:19

255

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Prove that $\frac{\sin(x)}{1+|x|}$ is not Lebesgue integrable

Published on 10 May 2026 - 17:15

273

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Equivalence of Lebesgue and Henstock-Kurzweil (Gauge) integral.

Published on 08 Apr 2026 - 19:29

199

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Is this an alternative definition of the Lebesgue integral?

Published on 10 May 2026 - 19:38

50

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New norms on $L^2$

Published on 10 May 2026 - 15:22

40

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Lebesgues spaces

Published on 11 Apr 2026 - 5:32

227

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Riemann-Lebesgue lemma applied

Published on 11 May 2026 - 0:38

151

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Why Volterra's function's derivative is zero on Cantor Set?

Published on 10 May 2026 - 14:04

113

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How can I prove that $\overline{\int_{\mathbb R}f}=\int_{\mathbb R}\bar f$?

Published on 16 Apr 2026 - 10:21

50

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Upper bound for integral of two variables

Published on 11 Apr 2026 - 7:55

121

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When are you allowed to say $\int_\mathbb{R} \mathbb{1}_{(0,1)}(x)x^{\alpha p}d\lambda = \int_0^1x^{\alpha p}dx$?

Published on 10 May 2026 - 17:15

List Question

Existence of $h \in L^p$ function that satisfied $\int f(g-h) =0$ for $g$ measurable and $f \in L^q$

Is there a nice way to calculate $\int (1-x_3)^2$ over the hemisphere?

Using Fubini's theorem for Riemann integrals

Proof of Riesz-Fischer Theorem using the completeness of $L^1$ to infer completeness of $L^p$.

Integrals of simple functions that are equal almost everywhere.

Prove that $\frac{\sin(x)}{1+|x|}$ is not Lebesgue integrable

Equivalence of Lebesgue and Henstock-Kurzweil (Gauge) integral.

Is this an alternative definition of the Lebesgue integral?

New norms on $L^2$

Lebesgues spaces

Riemann-Lebesgue lemma applied

Why Volterra's function's derivative is zero on Cantor Set?

How can I prove that $\overline{\int_{\mathbb R}f}=\int_{\mathbb R}\bar f$?

Upper bound for integral of two variables

When are you allowed to say $\int_\mathbb{R} \mathbb{1}_{(0,1)}(x)x^{\alpha p}d\lambda = \int_0^1x^{\alpha p}dx$?

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