List questions from measurable-functions

Published on 26 Mar 2026 - 12:44

41

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Measurability of a random variable w.r.t a $\sigma$ algebra

Published on 21 Jan 2022 - 18:29

143

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Why can we use MCT in the proof of Fubini's theorem (in Stein's book)?

Published on 29 Mar 2026 - 8:18

893

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Weak topology and weak convergenge in probability spaces

Published on 27 Mar 2026 - 10:16

747

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Image of a measurable function is not measurable

Published on 26 Mar 2026 - 12:45

58

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Measurability of minimum with respect to lexicographic order

Published on 01 Feb 2022 - 10:08

128

Views

Is there a generalization of the measure theoretic change-of-variables formula to $\mathbb{R}^n$?

Published on 04 Feb 2022 - 4:16

79

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Showing that $E(X) = \int_{\Omega}X(\omega)d\mathbb{P}(\omega) = \int_\mathbb{R}xd\mathbb{P}_X(x)$

Published on 07 Feb 2022 - 8:19

147

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Showing that the preimage of the projection mappings $E_1\times\cdots\times E_n\mapsto E_i, E_1,\dots,E_n\in B(R)$ is contained in $B(R^n)$

Published on 07 Feb 2022 - 19:44

108

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Integrability of the inner Hausdorff measure of noncompactness

Published on 07 Feb 2022 - 19:56

21

Views

Is $1/(T-t)$ an almost everywhere finite function for $t\in[0,\infty)$

Published on 09 Feb 2022 - 10:26

656

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Measurability conditions in the definition of Brownian motion

Published on 13 Feb 2022 - 9:46

129

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Are Borel measurable functions closed in pointwise topology?

Published on 28 Mar 2026 - 8:49

68

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Confusion in showing that $f$ is measurable

Published on 18 Feb 2022 - 22:27

57

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$f$ is $\mathbb{B}$ measurable if and only if $g$ is $\mathbb{B}$ measurable and $P,N \in \mathbb{B}$

Published on 29 Mar 2026 - 11:44

List Question

Two functions agreed to differ at points on a full set

Measurability of a random variable w.r.t a $\sigma$ algebra

Why can we use MCT in the proof of Fubini's theorem (in Stein's book)?

Weak topology and weak convergenge in probability spaces

Image of a measurable function is not measurable

Measurability of minimum with respect to lexicographic order

Is there a generalization of the measure theoretic change-of-variables formula to $\mathbb{R}^n$?

Showing that $E(X) = \int_{\Omega}X(\omega)d\mathbb{P}(\omega) = \int_\mathbb{R}xd\mathbb{P}_X(x)$

Showing that the preimage of the projection mappings $E_1\times\cdots\times E_n\mapsto E_i, E_1,\dots,E_n\in B(R)$ is contained in $B(R^n)$

Integrability of the inner Hausdorff measure of noncompactness

Is $1/(T-t)$ an almost everywhere finite function for $t\in[0,\infty)$

Measurability conditions in the definition of Brownian motion

Are Borel measurable functions closed in pointwise topology?

Confusion in showing that $f$ is measurable

$f$ is $\mathbb{B}$ measurable if and only if $g$ is $\mathbb{B}$ measurable and $P,N \in \mathbb{B}$

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