Timeline for A question concerning Lusin’s Theorem
Current License: CC BY-SA 4.0
17 events
| when toggle format | what | by | license | comment | |
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| S Apr 1, 2019 at 9:01 | history | bounty ended | CommunityBot | ||
| S Apr 1, 2019 at 9:01 | history | notice removed | CommunityBot | ||
| Mar 24, 2019 at 8:50 | vote | accept | James Baxter | ||
| Mar 24, 2019 at 8:47 | answer | added | Taras Banakh | timeline score: 7 | |
| S Mar 24, 2019 at 7:33 | history | bounty started | James Baxter | ||
| S Mar 24, 2019 at 7:33 | history | notice added | James Baxter | Draw attention | |
| Mar 22, 2019 at 6:55 | comment | added | James Baxter | Also, I’ve modified the question a little. | |
| Mar 22, 2019 at 6:55 | history | edited | James Baxter | CC BY-SA 4.0 |
added 36 characters in body
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| Mar 22, 2019 at 6:51 | comment | added | James Baxter | This function is discontinuous everywhere with oscillation 1, so the integral would be 1 as well. | |
| Mar 22, 2019 at 1:53 | comment | added | Gary Moon | I hate to ask a question so similar to one that was just answered, but I feel that I'm still missing something here (probably just one of those days :) ). If we took $f=\chi_{\mathbb{Q}\cap [0,1]}$, what would we get for $O(f,e)$? | |
| Mar 21, 2019 at 19:07 | history | edited | James Baxter | CC BY-SA 4.0 |
deleted 14 characters in body
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| S Mar 20, 2019 at 19:41 | history | suggested | Daniele Tampieri | CC BY-SA 4.0 |
Tried to render the formula defining O(f,e) in a better way using \substack LaTEX command
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| Mar 20, 2019 at 19:40 | review | Suggested edits | |||
| S Mar 20, 2019 at 19:41 | |||||
| Mar 20, 2019 at 12:47 | comment | added | James Baxter | This would be zero for all e, since for any such H with m(H) = e, we have that the oscillation on H is 0 a.e. (everywhere except 0 and 1/2). So the integral is 0. | |
| Mar 20, 2019 at 12:01 | comment | added | Fedor Petrov | I am not sure that I understood the definition, what is $O(f,e)$ for $f=\chi_{(0,1/2]}$? | |
| Mar 20, 2019 at 8:57 | comment | added | Dave L Renfro | Possibly Jack Brown's 1995 survey paper Restriction theorems in real analysis (preprint version here) could be of use, at least in pointing you to possibly relevant literature. | |
| Mar 20, 2019 at 7:26 | history | asked | James Baxter | CC BY-SA 4.0 |