List questions from lebesgue-measure

Published on 13 Apr 2026 - 6:17

607

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measure of a set invariant by rational translation

Published on 13 Apr 2026 - 15:27

319

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Prove $f_n\to f$ on $[a,b]\implies \int_a^b|f_n-f|\to 0$

Published on 16 Apr 2026 - 21:59

123

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Puzzles in a proof

Published on 18 Apr 2026 - 17:48

149

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a question about the evaluation of integral

Published on 18 Apr 2026 - 18:05

283

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What's the relationship between continuity property of Lebesgue measure and continuity on a metric space?

Published on 11 Apr 2026 - 4:08

28

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Optimal $A\in \Sigma$ that maximizes an objective

Published on 12 Apr 2026 - 0:24

643

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What's the Lebesgue measure of this set?

Published on 11 Apr 2026 - 23:09

101

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Congruent Sub-Intervals with Reimann-Integrable Functions

Published on 18 Apr 2026 - 17:56

152

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Outer Measure on a Probability Space is 1 iff its complement is null?

Published on 13 Apr 2026 - 18:56

114

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Is a subspace of functions that essentially depend only on one variable closed?

Published on 14 Apr 2026 - 3:54

7.6k

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Finite measure space & sigma-finite measure space

Published on 18 Apr 2026 - 23:20

886

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I need to prove whether two sequences are equidistributed or not

Published on 18 Apr 2026 - 23:11

958

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Prove Y = X given $Y = E[X|\mathscr{G}] $ and $EY^2 = EX^2$

Published on 15 Apr 2026 - 14:18

1.1k

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Is a countable intersection of open sets in $\mathbb R$ Lebesgue measurable?

Published on 14 Apr 2026 - 2:28

List Question

Any positive measure subset of $\mathbb R$ contains a positive measure Cantor set

measure of a set invariant by rational translation

Prove $f_n\to f$ on $[a,b]\implies \int_a^b|f_n-f|\to 0$

Puzzles in a proof

a question about the evaluation of integral

What's the relationship between continuity property of Lebesgue measure and continuity on a metric space?

Optimal $A\in \Sigma$ that maximizes an objective

What's the Lebesgue measure of this set?

Congruent Sub-Intervals with Reimann-Integrable Functions

Outer Measure on a Probability Space is 1 iff its complement is null?

Is a subspace of functions that essentially depend only on one variable closed?

Finite measure space & sigma-finite measure space

I need to prove whether two sequences are equidistributed or not

Prove Y = X given $Y = E[X|\mathscr{G}] $ and $EY^2 = EX^2$

Is a countable intersection of open sets in $\mathbb R$ Lebesgue measurable?

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