List questions from measure-theory

Published on 01 Apr 2026 - 11:19

203

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Convergence of the Fourier Series

Published on 01 Apr 2026 - 8:58

107

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Maximum volume of a set

Published on 05 Apr 2026 - 17:19

122

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($f:R\subset \Bbb R^n\to \Bbb R$, $f\geq 0$, $\int\limits_R f(x)\,dx=0$) $\implies$ ($f=0$ almost everywhere)

Published on 08 Apr 2026 - 23:22

109

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Clarifying a part of Caratheodory's theorem proof

Published on 25 Mar 2026 - 7:15

320

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Calculate the limit using dominated or monotone convergence theorem

Published on 24 Mar 2026 - 23:54

180

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Is the continuity of measures a topological continuity?

Published on 10 Apr 2026 - 0:03

151

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If $\mu$ is a signed measure, can we show that $\left\{A\in\mathcal A:\mu(A)\ge0\right\}$ is a monotone class?

Published on 29 Jan 2018 - 15:24

91

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An "inner isodiametric inequality"

Published on 29 Jan 2018 - 16:55

267

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Conditional expectation: treating $X_1$ as constant?

Published on 11 Apr 2026 - 12:15

251

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Computing Lebesgue and Hausdorff Integrals

Published on 09 Apr 2026 - 4:36

63

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Proving a property of a $L^1(\mu)$ function.

Published on 24 Mar 2026 - 20:38

152

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show function is integrable using Fubini theorem

Published on 09 Apr 2026 - 9:25

196

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What modes of convergence does the Fourier transform preserve?

Published on 09 Apr 2026 - 5:55

2.5k

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Measurable subset of Vitaly set has measure zero. Proof.

Published on 24 Mar 2026 - 23:45

List Question

Assume $f=g~~a.e$ with respect to a Lebesgue measure what is $L_g?$

Convergence of the Fourier Series

Maximum volume of a set

($f:R\subset \Bbb R^n\to \Bbb R$, $f\geq 0$, $\int\limits_R f(x)\,dx=0$) $\implies$ ($f=0$ almost everywhere)

Clarifying a part of Caratheodory's theorem proof

Calculate the limit using dominated or monotone convergence theorem

Is the continuity of measures a topological continuity?

If $\mu$ is a signed measure, can we show that $\left\{A\in\mathcal A:\mu(A)\ge0\right\}$ is a monotone class?

An "inner isodiametric inequality"

Conditional expectation: treating $X_1$ as constant?

Computing Lebesgue and Hausdorff Integrals

Proving a property of a $L^1(\mu)$ function.

show function is integrable using Fubini theorem

What modes of convergence does the Fourier transform preserve?

Measurable subset of Vitaly set has measure zero. Proof.

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