List questions from lebesgue-integral

Published on 11 Apr 2026 - 18:32

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Understanding the last few lines in a proof by Royden in Real Analysis.

Published on 09 Apr 2026 - 7:03

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A measurable function with $\int f^n$ bounded or converging as $n \to \infty$

Published on 28 Apr 2026 - 21:46

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If $\int(f_n) \rightarrow \int(f)$ then $\int(|f_n-f|) \rightarrow 0$ for $f_n \rightarrow f$ pointwise

Published on 16 Apr 2026 - 5:27

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How to apply Fubini here

Published on 10 Apr 2026 - 12:57

523

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Find a Borel subset satisfying the condition

Published on 15 Apr 2026 - 6:04

78

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Lebesgue integrability of $\ f$ and $\ f^{-1}$

Published on 16 Apr 2026 - 3:53

60

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Fix some $\delta\in \mathbb R$ and let $f:[0,\infty)\rightarrow \mathbb R$ be given by the equation

Published on 12 Apr 2026 - 20:16

109

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Integral of exponent of random variable is continuous

Published on 09 Apr 2026 - 20:23

375

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Integral of Schwartz function over probability measure

Published on 10 Apr 2026 - 22:48

7.7k

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Why is expectation defined by $\int xf(x)dx$?

Published on 14 Apr 2026 - 17:05

395

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Absolute value bound of Lebesgue integral

Published on 10 Apr 2026 - 20:19

716

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Bounding for convolution convergence

Published on 12 Apr 2026 - 7:02

36

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Probability measure for Schwartz function

Published on 12 Apr 2026 - 7:43

516

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Similar to Poincare inequality on Sobolev spaces

Published on 24 Apr 2026 - 13:02

List Question

norm of $x \in \mathbb R^d$ is in Sobolev space

Understanding the last few lines in a proof by Royden in Real Analysis.

A measurable function with $\int f^n$ bounded or converging as $n \to \infty$

If $\int(f_n) \rightarrow \int(f)$ then $\int(|f_n-f|) \rightarrow 0$ for $f_n \rightarrow f$ pointwise

How to apply Fubini here

Find a Borel subset satisfying the condition

Lebesgue integrability of $\ f$ and $\ f^{-1}$

Fix some $\delta\in \mathbb R$ and let $f:[0,\infty)\rightarrow \mathbb R$ be given by the equation

Integral of exponent of random variable is continuous

Integral of Schwartz function over probability measure

Why is expectation defined by $\int xf(x)dx$?

Absolute value bound of Lebesgue integral

Bounding for convolution convergence

Probability measure for Schwartz function

Similar to Poincare inequality on Sobolev spaces

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