List questions from measure-theory

Published on 12 Apr 2026 - 5:14

84

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Measure-preserving transformations

Published on 09 Apr 2026 - 23:14

65

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Change of measure as functions of random variable

Published on 09 Apr 2026 - 12:10

1.3k

Views

$L^p$ norm convergence implies $L^p$ convergence

Published on 16 Apr 2026 - 15:17

109

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$f_n \rightarrow_{\mu} f$ in measure , $g$ uniformly continuous $\Rightarrow$ $g\circ f_n \rightarrow_{\mu} g \circ f$

Published on 16 Apr 2026 - 8:22

285

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Projection of a measurable cylinder of the product $\sigma$-algebra

Published on 23 Apr 2026 - 5:02

121

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Is every sigma algebra generated by some subclass.

Published on 10 Apr 2026 - 18:16

91

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Measure of sets on $\mathbb R^{n+m}$ isomorphic to $\mathbb R^n\times \mathbb R^m$

Published on 16 Apr 2026 - 12:42

358

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Is $f$ bounded a.e. if $f$ is finite?

Published on 17 Apr 2026 - 8:44

55

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Is the set of numbers $x$ with $\frac{x}{\pi} = \frac{m}{n} $ dense in $[0, \pi]$?

Published on 14 Apr 2026 - 10:58

63

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intuition behind Vitali's Theorem from Theory of Statistical Hypotheses by Lehmann and Romano

Published on 11 Apr 2026 - 9:25

44

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Every $f \in L^{1}(G)$ is product of two of $L^{2}(G)$

Published on 15 Apr 2026 - 6:07

45

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Prove that $X \in L^p$

Published on 14 Apr 2026 - 0:34

99

Views

Outer measure inequality

Published on 11 Apr 2026 - 16:03

679

Views

Kolmogorov like Maximal inequality with exponential expected value

Published on 11 Apr 2026 - 1:31

List Question

Does the Chapman-Kolmogorov relation imply triviality?

Measure-preserving transformations

Change of measure as functions of random variable

$L^p$ norm convergence implies $L^p$ convergence

$f_n \rightarrow_{\mu} f$ in measure , $g$ uniformly continuous $\Rightarrow$ $g\circ f_n \rightarrow_{\mu} g \circ f$

Projection of a measurable cylinder of the product $\sigma$-algebra

Is every sigma algebra generated by some subclass.

Measure of sets on $\mathbb R^{n+m}$ isomorphic to $\mathbb R^n\times \mathbb R^m$

Is $f$ bounded a.e. if $f$ is finite?

Is the set of numbers $x$ with $\frac{x}{\pi} = \frac{m}{n} $ dense in $[0, \pi]$?

intuition behind Vitali's Theorem from Theory of Statistical Hypotheses by Lehmann and Romano

Every $f \in L^{1}(G)$ is product of two of $L^{2}(G)$

Prove that $X \in L^p$

Outer measure inequality

Kolmogorov like Maximal inequality with exponential expected value

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