List questions from measure-theory

Published on 16 Apr 2026 - 12:43

521

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The Countable Additivity of the Lebesgue Premeasure

Published on 14 Apr 2026 - 15:13

215

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Using dominated convergence theorem to asset Leibniz rule when $\partial{f}/\partial{x}(x,y)$ is bounded and $f$ is integrable

Published on 14 Apr 2026 - 14:41

396

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About a uniformly integrable sequence of functions

Published on 11 Apr 2026 - 14:40

1.6k

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Proving the inclusion-exclusion principle for measures

Published on 10 Apr 2026 - 0:09

355

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Making a dense set of full measure from Cantor like sets

Published on 13 Apr 2026 - 1:35

96

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Smallest $\sigma$-algebra with adjoined set

Published on 15 Apr 2026 - 3:06

122

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Multiplication in $L^p$ is not in $L^p$

Published on 15 Apr 2026 - 10:47

110

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If $X \subset \mathbb{R}^2$ is Lebesgue measurable and $l \subset \mathbb{R}^2$ is a line, is $X \cap l$ necessarily measurable in $l$?

Published on 14 Apr 2026 - 17:11

347

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Laplace transform of a signed measure

Published on 13 Apr 2026 - 5:25

99

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$\mathcal{L}^1$ is closed under convergence in probability

Published on 09 Apr 2026 - 23:13

55

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A progressively measurable process.

Published on 01 Apr 2026 - 14:53

148

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Redefining almost monotonic functions on a set of measure $0$

Published on 14 Apr 2026 - 3:09

149

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Find a finite union $U$ of open intervals

Published on 14 Apr 2026 - 14:33

64

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Question about Radon Nikodym

Published on 16 Apr 2026 - 20:56

List Question

Show that if $Y$ is $\sigma(X)$-measurable, $X\sim\operatorname B(p)$ then $Y=aX+b$

The Countable Additivity of the Lebesgue Premeasure

Using dominated convergence theorem to asset Leibniz rule when $\partial{f}/\partial{x}(x,y)$ is bounded and $f$ is integrable

About a uniformly integrable sequence of functions

Proving the inclusion-exclusion principle for measures

Making a dense set of full measure from Cantor like sets

Smallest $\sigma$-algebra with adjoined set

Multiplication in $L^p$ is not in $L^p$

If $X \subset \mathbb{R}^2$ is Lebesgue measurable and $l \subset \mathbb{R}^2$ is a line, is $X \cap l$ necessarily measurable in $l$?

Laplace transform of a signed measure

$\mathcal{L}^1$ is closed under convergence in probability

A progressively measurable process.

Redefining almost monotonic functions on a set of measure $0$

Find a finite union $U$ of open intervals

Question about Radon Nikodym

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