Timeline for Confusion around uniform integrability and Vitali convergence theorem
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Nov 4, 2021 at 3:07 | comment | added | Iosif Pinelis | @YuvalPeres : Thank you for your comment. This is now fixed. | |
| Nov 4, 2021 at 3:06 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Nov 4, 2021 at 1:49 | comment | added | Yuval Peres | @Iosif Pinelis, It seems to me the sequence in your example is equi-integrable. You can simply take $\delta=\epsilon$. Indeed, equi-integrability will always hold for a family of uniformly bounded functions. | |
| Oct 5, 2021 at 13:11 | vote | accept | user141240 | ||
| Oct 3, 2021 at 1:42 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Oct 3, 2021 at 1:10 | comment | added | user141240 | Seems like this MSE post also asked a similar question but only got a partial answer: math.stackexchange.com/questions/4042711/… | |
| Oct 3, 2021 at 1:06 | comment | added | user141240 | Thank you for this counter-example. Knowing this, I'm now even more confused. How do I connect Tao's definition of uniform integrability with equi-integrability and tightness? | |
| Oct 3, 2021 at 0:55 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Oct 3, 2021 at 0:44 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Oct 3, 2021 at 0:38 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |