Question

Why are simple integrands adapted?

score 53 · Answer 1 · 2026-03-29 04:42:39

53

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Why are simple integrands adapted?

Published on 29 Mar 2026 - 4:42

score 69 · Answer 2 · 2020-07-27 17:29:44

69

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Separable Functions on $\mathbb{R}^2$ are Measurable on $\mathbb{R}^2$

Published on 27 Jul 2020 - 17:29

score 1.8k · Answer 3 · 2016-07-14 16:10:47

1.8k

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Show that $E=\bigcup_{k=1}^{\infty}E_k$, where for each index $k, E_k$ is measurable, and $(f_n)$ converges uniformly to $f$

Published on 14 Jul 2016 - 16:10

score 774 · Answer 4 · 2017-01-22 05:04:41

774

Views

Extension of Lusin's Theorem to the case that f is not necessarily real-valued, but may be finite a.e.

Published on 22 Jan 2017 - 5:04

score 225 · Answer 5 · 2017-02-05 12:16:32

225

Views

Measurability of a specific binary function

Published on 05 Feb 2017 - 12:16

score 263 · Answer 6 · 2017-02-05 18:07:42

263

Views

Prove that there are uncountably many non-measurable sets.

Published on 05 Feb 2017 - 18:07

score 226 · Answer 7 · 2017-02-06 20:25:52

226

Views

Sufficient conditions for separately measurable functions being jointly measurable.

Published on 06 Feb 2017 - 20:25

score 33 · Answer 8 · 2026-03-27 11:45:28

33

Views

Suitable factor to set integral to zero

Published on 27 Mar 2026 - 11:45

score 307 · Answer 9 · 2017-02-10 16:44:54

307

Views

How can I solve thins problem by applying the Radon-Nikodym Theorem?

Published on 10 Feb 2017 - 16:44

score 275 · Answer 10 · 2017-02-12 14:52:41

275

Views

Suppose that is $f$ is a measurable function, and $g$ differs with $f$ only by a measure zero set, is $g$ measurable?

Published on 12 Feb 2017 - 14:52

score 74 · Answer 11 · 2017-02-14 18:11:25

74

Views

$\sigma$-algebra and measurability

Published on 14 Feb 2017 - 18:11

score 943 · Answer 12 · 2017-02-24 18:44:13

943

Views

A question on joint-measurability of a function

Published on 24 Feb 2017 - 18:44

score 636 · Answer 13 · 2026-03-28 20:54:04

636

Views

Confusion about Lebesgue Measurable Functions

Published on 28 Mar 2026 - 20:54

score 78 · Answer 14 · 2017-03-13 15:22:35

78

Views

Measurability of a two variable function

Published on 13 Mar 2017 - 15:22

score 353 · Answer 15 · 2017-03-16 14:00:22

353

Views

$f: \mathbb R^n \to \mathbb R$ be Lebesgue measurable , then there is a Borel measurable $g: \mathbb R^n \to \mathbb R$ such that $f=g$ a.e.?

Published on 16 Mar 2017 - 14:00

List Question

Why are simple integrands adapted?

Separable Functions on $\mathbb{R}^2$ are Measurable on $\mathbb{R}^2$

Show that $E=\bigcup_{k=1}^{\infty}E_k$, where for each index $k, E_k$ is measurable, and $(f_n)$ converges uniformly to $f$

Extension of Lusin's Theorem to the case that f is not necessarily real-valued, but may be finite a.e.

Measurability of a specific binary function

Prove that there are uncountably many non-measurable sets.

Sufficient conditions for separately measurable functions being jointly measurable.

Suitable factor to set integral to zero

How can I solve thins problem by applying the Radon-Nikodym Theorem?

Suppose that is $f$ is a measurable function, and $g$ differs with $f$ only by a measure zero set, is $g$ measurable?

$\sigma$-algebra and measurability

A question on joint-measurability of a function

Confusion about Lebesgue Measurable Functions

Measurability of a two variable function

$f: \mathbb R^n \to \mathbb R$ be Lebesgue measurable , then there is a Borel measurable $g: \mathbb R^n \to \mathbb R$ such that $f=g$ a.e.?

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