List questions from lebesgue-integral

Published on 16 Apr 2026 - 0:43

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Questions about integrals over subsets

Published on 09 Apr 2026 - 1:11

389

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What is the relevance of linearity and monotone convergence theorem?

Published on 16 Apr 2026 - 18:18

39

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Is there a non-null subset where $f$ has the sign of its integral?

Published on 13 Apr 2026 - 9:51

1k

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Improper Riemann integral versus Lebesgue

Published on 02 Apr 2026 - 9:36

419

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Prove that g is equal to a constant a.e.

Published on 14 Apr 2026 - 4:40

1.6k

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Triangle inequality for signed measure

Published on 09 Apr 2026 - 20:26

291

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Conditional expectation unique?

Published on 12 Apr 2026 - 7:43

131

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Problem related to $L^p$ space

Published on 18 Apr 2026 - 23:07

899

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Markov's inequality proof check

Published on 09 Apr 2026 - 18:36

166

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Help evaluating $\int_{-1/2}^{1/2}\sin^2(2^{j-1}\pi f)\prod_{i=0}^{j-2} \cos^2(2^i\pi f)$

Published on 17 Apr 2026 - 3:11

98

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Evaluate $\int_{\mathbb{R}} \frac{\sin^{4}(x)}{x^2}dx$

Published on 17 Apr 2026 - 4:34

114

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Show that the measure $h(E)= \int_{E} \frac{1}{x} dx$ on Borel sets is invariant under dilations

Published on 16 Apr 2026 - 16:26

69

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Does a function being Lebesgue measurable imply it is integrable? ($f\colon [a,b]\to\Bbb C$)

Published on 13 Apr 2026 - 3:02

269

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Exact meaning of Lebesgue integral's domain

Published on 15 Apr 2026 - 0:21

List Question

Using Fatou's Lemmas in proving Scheffe's Lemma Part (ii)

Questions about integrals over subsets

What is the relevance of linearity and monotone convergence theorem?

Is there a non-null subset where $f$ has the sign of its integral?

Improper Riemann integral versus Lebesgue

Prove that g is equal to a constant a.e.

Triangle inequality for signed measure

Conditional expectation unique?

Problem related to $L^p$ space

Markov's inequality proof check

Help evaluating $\int_{-1/2}^{1/2}\sin^2(2^{j-1}\pi f)\prod_{i=0}^{j-2} \cos^2(2^i\pi f)$

Evaluate $\int_{\mathbb{R}} \frac{\sin^{4}(x)}{x^2}dx$

Show that the measure $h(E)= \int_{E} \frac{1}{x} dx$ on Borel sets is invariant under dilations

Does a function being Lebesgue measurable imply it is integrable? ($f\colon [a,b]\to\Bbb C$)

Exact meaning of Lebesgue integral's domain

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