List questions from lebesgue-integral

Published on 17 Nov 2018 - 1:26

42

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Lebesgue integral simple function query

Published on 17 Nov 2018 - 8:39

29

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Calculating volume of a set $K=\{(x,y,z)^T \in \mathbb{R}^3:x^2+y^2+z^2 \le 4, x^2+y^2 \le 2x\}$

Published on 17 Nov 2018 - 16:25

176

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Hypotheses on Plancherel's theorem

Published on 25 Mar 2026 - 15:19

64

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A "nice result" in Functional Analysis

Published on 18 Nov 2018 - 13:37

234

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Bogachev change of variables theorem.

Published on 18 Nov 2018 - 15:35

141

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Measure on a sigma-algebra with integral

Published on 18 Nov 2018 - 16:03

294

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Prove that $\lim_{n\rightarrow \infty} \int_{[-n,n]} f\,d\lambda= \int f\,d\lambda.$

Published on 19 Nov 2018 - 0:52

104

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What is a tube in $\mathbb{R}^n$?

Published on 19 Nov 2018 - 7:03

50

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Integral of average of integral equal to integral itself

Published on 19 Nov 2018 - 7:32

359

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Lebesgue integration: integral of continuous function tends to infinity

Published on 19 Nov 2018 - 14:42

185

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Fourier transform and lebesgue integral

Published on 19 Nov 2018 - 15:20

255

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When does the Riemann Integral-like characterization of Lebesgue Integrals fail?

Published on 26 Mar 2026 - 17:47

260

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Can a sequence of functions converge to $0$ in only one $L_p$ space?

Published on 20 Nov 2018 - 5:09

40

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Suppose $f$ is a measurable function st $|f(x)| \leq c|x|^{-p} \chi_{B(0,1)}(x)$for some $c > 0, p <n$. Show $f$ is integrable.

Published on 20 Nov 2018 - 9:13

List Question

Showing that the almost uniform limit of functions with bounded $L_\infty$ norms is in $L_\infty$

Lebesgue integral simple function query

Calculating volume of a set $K=\{(x,y,z)^T \in \mathbb{R}^3:x^2+y^2+z^2 \le 4, x^2+y^2 \le 2x\}$

Hypotheses on Plancherel's theorem

A "nice result" in Functional Analysis

Bogachev change of variables theorem.

Measure on a sigma-algebra with integral

Prove that $\lim_{n\rightarrow \infty} \int_{[-n,n]} f\,d\lambda= \int f\,d\lambda.$

What is a tube in $\mathbb{R}^n$?

Integral of average of integral equal to integral itself

Lebesgue integration: integral of continuous function tends to infinity

Fourier transform and lebesgue integral

When does the Riemann Integral-like characterization of Lebesgue Integrals fail?

Can a sequence of functions converge to $0$ in only one $L_p$ space?

Suppose $f$ is a measurable function st $|f(x)| \leq c|x|^{-p} \chi_{B(0,1)}(x)$for some $c > 0, p <n$. Show $f$ is integrable.

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