List questions from measurable-functions

Published on 27 Feb 2022 - 12:16

102

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regarding lebesgue integral

Published on 28 Feb 2022 - 12:09

46

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Showing that if $F\subset X,F\in Ba(X)$ is closed, $A\subseteq F$ implies $A\in Ba(F)\iff A\in Ba(X)$ - important for Baire regularity

Published on 04 Mar 2022 - 17:22

202

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Is $f:[a,b] \times \Omega \to E$ measurable?

Published on 05 Mar 2022 - 10:33

31

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Essential sup Property

Published on 09 Mar 2022 - 14:40

15

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The existence of a set with nonzero measure on which two measurable functions $f>g$ is "separated" by a constant.

Published on 03 Mar 2026 - 23:25

105

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Inverse image of a half line is an event if and only if the inverse image of all Borel sets is an event.

Published on 13 Mar 2022 - 11:32

32

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How to compute $\lim_{u\to u_{0}^{-}} \mu\left( f^{-1}(u,u_{0}] \right)$?

Published on 16 Mar 2022 - 16:25

52

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Convergence in distribution and almost sure convergence

Published on 18 Mar 2022 - 12:30

111

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Is it enough to check ergodicity for intervals?

Published on 23 Mar 2022 - 10:30

285

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Relationship between Disintegration Theorem and Co-Area formula

Published on 30 Mar 2026 - 2:10

84

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Criterion for a function to be Lebegsue measurable.

Published on 30 Mar 2026 - 0:17

19

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question about limit of integral

Published on 30 Mar 2022 - 14:04

61

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Approximation by simple functions for $f\in L^1(\mu)$

Published on 02 Apr 2022 - 7:12

25

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Measurability and equality of functions on product measure space

Published on 25 Mar 2026 - 22:04

List Question

the relationship between strongly measurable and measurable.

regarding lebesgue integral

Showing that if $F\subset X,F\in Ba(X)$ is closed, $A\subseteq F$ implies $A\in Ba(F)\iff A\in Ba(X)$ - important for Baire regularity

Is $f:[a,b] \times \Omega \to E$ measurable?

Essential sup Property

The existence of a set with nonzero measure on which two measurable functions $f>g$ is "separated" by a constant.

Inverse image of a half line is an event if and only if the inverse image of all Borel sets is an event.

How to compute $\lim_{u\to u_{0}^{-}} \mu\left( f^{-1}(u,u_{0}] \right)$?

Convergence in distribution and almost sure convergence

Is it enough to check ergodicity for intervals?

Relationship between Disintegration Theorem and Co-Area formula

Criterion for a function to be Lebegsue measurable.

question about limit of integral

Approximation by simple functions for $f\in L^1(\mu)$

Measurability and equality of functions on product measure space

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