List questions from measure-theory

Published on 12 Apr 2026 - 18:06

110

Views

Construction of product measures - self study

Published on 11 Apr 2026 - 23:40

68

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$\mathbb{E}[f(X,Y)|Y]=\mathbb{E}[f(X,Y)]$ for all bounded measurable $f$ using the monotone class theorem

Published on 13 May 2026 - 12:33

35

Views

Whats wrong in my method for finding probability distribution?

Published on 09 Apr 2026 - 8:19

178

Views

Proving that a non-negative additive set function is monotonous

Published on 29 Apr 2026 - 5:39

374

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Can the total variation measure of a complex measure be related to its real and imaginary parts?

Published on 10 May 2026 - 13:51

70

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Tight Poisson ($\lambda$) measures iff $\lambda$ in a bounded set

Published on 12 Apr 2026 - 22:22

415

Views

Different notation $dP(x)$ and $P(dx)$

Published on 18 Apr 2026 - 5:34

332

Views

Identifying a multiplicative measure

Published on 10 Apr 2026 - 19:56

34

Views

Let $(X, {\cal E}, \mu)$ be a measure space and let $B \in {\cal E}$. Define $\mu_B:{\cal E} \to [0,\infty]$ by $\mu_B (E) = \mu(E\cap B)$.

Published on 15 Apr 2026 - 20:43

383

Views

Is Wiener measure a Borel measure?

Published on 10 Apr 2026 - 23:02

24

Views

Converging almost everywhere in finite space but not in p-th mean

Published on 10 Apr 2026 - 18:50

34

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Mass of $ A := \{ x \in R^2\ | x<y , y<2, y>1/x \}$

Published on 15 Apr 2026 - 16:56

346

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Example of $\mu_n$ absolutely continuous to Lebesgue but $\mu$ is not

Published on 13 Apr 2026 - 20:55

95

Views

Linearity in Proof of Young's Convolution Inequality

Published on 13 Apr 2026 - 0:04

List Question

What range of values can $\int \int |f|dm$ can possibly have?

Construction of product measures - self study

$\mathbb{E}[f(X,Y)|Y]=\mathbb{E}[f(X,Y)]$ for all bounded measurable $f$ using the monotone class theorem

Whats wrong in my method for finding probability distribution?

Proving that a non-negative additive set function is monotonous

Can the total variation measure of a complex measure be related to its real and imaginary parts?

Tight Poisson ($\lambda$) measures iff $\lambda$ in a bounded set

Different notation $dP(x)$ and $P(dx)$

Identifying a multiplicative measure

Let $(X, {\cal E}, \mu)$ be a measure space and let $B \in {\cal E}$. Define $\mu_B:{\cal E} \to [0,\infty]$ by $\mu_B (E) = \mu(E\cap B)$.

Is Wiener measure a Borel measure?

Converging almost everywhere in finite space but not in p-th mean

Mass of $ A := \{ x \in R^2\ | x<y , y<2, y>1/x \}$

Example of $\mu_n$ absolutely continuous to Lebesgue but $\mu$ is not

Linearity in Proof of Young's Convolution Inequality

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