List questions from measure-theory

Published on 10 Apr 2026 - 10:49

311

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Convergence in measure and almost everywhere proof

Published on 12 Apr 2026 - 6:01

325

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Infinite product of Haar measures

Published on 12 Apr 2026 - 3:14

394

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Lebesgue Integral, an example

Published on 12 Apr 2026 - 9:19

121

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What exactly do I need to show before using Fubini-Tonelli

Published on 11 Apr 2026 - 1:00

146

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Proving $f_n\to f$a.e implies $f_n\to f$ almost uniformly

Published on 30 Apr 2026 - 8:01

48

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Determine $\lambda^{2}(\{(x,y) \in \mathbb R^{2}: x \in \mathbb Q\cap [0,1], y \in [0,1]\})$

Published on 16 Apr 2026 - 6:32

122

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Understanding a remark for the Hausdorff measure in Wolff's lecture notes

Published on 10 May 2026 - 21:57

46

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Formula for conditional expectation of a product

Published on 11 Apr 2026 - 22:44

30

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Hints on $\lambda^{d}(\alpha B)=|\alpha|^d\lambda^{d}(B)$

Published on 16 Apr 2026 - 12:42

68

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Question regarding a property of the Lebesgue measure on Wikipedia

Published on 16 Apr 2026 - 8:54

88

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Riemann Integration and Lebesgue Integration

Published on 10 Apr 2026 - 13:37

76

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Show $\int_{\mathbb R^{d}}f(\alpha x)d\lambda^{d}(x)=\frac{1}{|\alpha|^{d}}\int_{\mathbb R^{d}}f(x)d\lambda^{d}(x)$

Published on 17 Apr 2026 - 6:25

24

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show that $\Delta \in \mathcal{B} \otimes \mathcal{P}$

Published on 13 Apr 2026 - 2:47

1k

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About two functions whose Lebesgue integral on all sets of a $\sigma-$algebra are equal

Published on 14 Apr 2026 - 9:16

List Question

Obtain a function from local mean values

Convergence in measure and almost everywhere proof

Infinite product of Haar measures

Lebesgue Integral, an example

What exactly do I need to show before using Fubini-Tonelli

Proving $f_n\to f$a.e implies $f_n\to f$ almost uniformly

Determine $\lambda^{2}(\{(x,y) \in \mathbb R^{2}: x \in \mathbb Q\cap [0,1], y \in [0,1]\})$

Understanding a remark for the Hausdorff measure in Wolff's lecture notes

Formula for conditional expectation of a product

Hints on $\lambda^{d}(\alpha B)=|\alpha|^d\lambda^{d}(B)$

Question regarding a property of the Lebesgue measure on Wikipedia

Riemann Integration and Lebesgue Integration

Show $\int_{\mathbb R^{d}}f(\alpha x)d\lambda^{d}(x)=\frac{1}{|\alpha|^{d}}\int_{\mathbb R^{d}}f(x)d\lambda^{d}(x)$

show that $\Delta \in \mathcal{B} \otimes \mathcal{P}$

About two functions whose Lebesgue integral on all sets of a $\sigma-$algebra are equal

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