List questions from measurable-functions

Published on 29 Aug 2021 - 10:48

466

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Conceptual Issues in the Measure Theoretic Proof of Conditional Expectations (via Radon-Nikodym)

Published on 24 Feb 2026 - 9:53

124

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If $\int_\Omega f d\mu < \infty$ and $f$ is non-negative, then $\mu(\{\omega\in\Omega:f(\omega)=\infty\})=0$

Published on 08 Sep 2021 - 15:04

78

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Limit of functions measurable with respect to sub-sigma algebra

Published on 08 Sep 2021 - 20:06

161

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Definiton of the measurable function and singleton.

Published on 09 Sep 2021 - 5:58

35

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Is the interpretation of measurability correct for the probability measure?

Published on 09 Sep 2021 - 16:05

77

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Equivalence between notions of dynamical coupling as defined by Villani's book Optimal Transportation: Old and New

Published on 09 Sep 2021 - 22:19

171

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Dominated convergence theorem (bounded)

Published on 20 Sep 2021 - 14:30

35

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Extension of a measurable function taking values on $[0,+\infty]$

Published on 21 Sep 2021 - 12:45

67

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Neighbor of non measurable function still non measurable

Published on 21 Sep 2021 - 16:00

63

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Proof clarification measure given by integral

Published on 25 Mar 2026 - 20:41

215

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Convergence in probability in metric spaces

Published on 27 Mar 2026 - 13:41

136

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Lebesgue measurable function, positive everywhere, has integral zero

Published on 23 Sep 2021 - 1:14

100

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If $f \in L^1(\mathbb R)$, then there exists $g = f \text{a.e}$ that is Borel measurable

Published on 23 Sep 2021 - 17:54

349

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Suslin sets and projections

Published on 23 Feb 2026 - 10:14

List Question

$(f,g)^{-1}(A) $ for $f,g$ Lebesgue measurable functions and $A$ closed set

Conceptual Issues in the Measure Theoretic Proof of Conditional Expectations (via Radon-Nikodym)

If $\int_\Omega f d\mu < \infty$ and $f$ is non-negative, then $\mu(\{\omega\in\Omega:f(\omega)=\infty\})=0$

Limit of functions measurable with respect to sub-sigma algebra

Definiton of the measurable function and singleton.

Is the interpretation of measurability correct for the probability measure?

Equivalence between notions of dynamical coupling as defined by Villani's book Optimal Transportation: Old and New

Dominated convergence theorem (bounded)

Extension of a measurable function taking values on $[0,+\infty]$

Neighbor of non measurable function still non measurable

Proof clarification measure given by integral

Convergence in probability in metric spaces

Lebesgue measurable function, positive everywhere, has integral zero

If $f \in L^1(\mathbb R)$, then there exists $g = f \text{a.e}$ that is Borel measurable

Suslin sets and projections

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