Question

Deciding whether $f$ is Lebesgue integrable

score 139 · Answer 1 · 2023-02-11 18:15:07

139

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Deciding whether $f$ is Lebesgue integrable

Published on 11 Feb 2023 - 18:15

score 34 · Answer 2 · 2023-02-15 08:03:12

34

Views

Sum of finite-valued measurable functions is again measurable.

Published on 15 Feb 2023 - 8:03

score 318 · Answer 3 · 2023-02-16 10:15:30

318

Views

Functions that are integrable with respect to all probability measures

Published on 16 Feb 2023 - 10:15

score 49 · Answer 4 · 2026-03-25 15:53:36

49

Views

Measurability of a map constructed by a family of measurable function

Published on 25 Mar 2026 - 15:53

score 61 · Answer 5 · 2023-03-01 02:35:27

61

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I wonder why the author wrote $(-\infty,b)\in\mathcal{T}.$ ("Measure, Integration & Real Analysis" by Sheldon Axler)

Published on 01 Mar 2023 - 2:35

score 292 · Answer 6 · 2023-03-05 05:23:16

292

Views

Differentiable almost everywhere implies f' is measurable.

Published on 05 Mar 2023 - 5:23

score 105 · Answer 7 · 2026-03-28 22:28:14

105

Views

How can I image what exactly Borel sets are? ("Measure, Integration & Real Analysis" by Sheldon Axler.)

Published on 28 Mar 2026 - 22:28

score 185 · Answer 8 · 2026-03-22 12:47:40

185

Views

Conditional expectation and the Monotone Class Theorem

Published on 22 Mar 2026 - 12:47

score 185 · Answer 9 · 2023-03-08 03:31:58

185

Views

Exercise 13 on p.38 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Published on 08 Mar 2023 - 3:31

score 113 · Answer 10 · 2026-03-25 07:43:02

113

Views

Prove f is measurable and integrable on A

Published on 25 Mar 2026 - 7:43

score 31 · Answer 11 · 2023-03-10 13:11:26

31

Views

Completeness of the measure space assumes continuity a.e. to imply measurability of functions

Published on 10 Mar 2023 - 13:11

score 61 · Answer 12 · 2023-03-10 15:51:42

61

Views

Measure theory - inequality

Published on 10 Mar 2023 - 15:51

score 34 · Answer 13 · 2023-03-12 11:15:13

34

Views

Finding approximating sequence of simple functions for a particular sequence

Published on 12 Mar 2023 - 11:15

score 100 · Answer 14 · 2026-03-28 23:59:11

100

Views

Exercise 17 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Published on 28 Mar 2026 - 23:59

score 105 · Answer 15 · 2026-03-25 17:22:21

105

Views

Exercise 18 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler.

Published on 25 Mar 2026 - 17:22

List Question

Deciding whether $f$ is Lebesgue integrable

Sum of finite-valued measurable functions is again measurable.

Functions that are integrable with respect to all probability measures

Measurability of a map constructed by a family of measurable function

I wonder why the author wrote $(-\infty,b)\in\mathcal{T}.$ ("Measure, Integration & Real Analysis" by Sheldon Axler)

Differentiable almost everywhere implies f' is measurable.

How can I image what exactly Borel sets are? ("Measure, Integration & Real Analysis" by Sheldon Axler.)

Conditional expectation and the Monotone Class Theorem

Exercise 13 on p.38 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Prove f is measurable and integrable on A

Completeness of the measure space assumes continuity a.e. to imply measurability of functions

Measure theory - inequality

Finding approximating sequence of simple functions for a particular sequence

Exercise 17 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Exercise 18 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler.

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