Timeline for Coarea inequality, Eilenberg inequality
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2020 at 12:55 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
added 78 characters in body
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| S Oct 13, 2020 at 20:09 | history | suggested | gmvh | CC BY-SA 4.0 |
fixed typos (post was bumped already)
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| Oct 13, 2020 at 20:01 | review | Suggested edits | |||
| S Oct 13, 2020 at 20:09 | |||||
| Oct 13, 2020 at 19:56 | comment | added | Piotr Hajlasz | @rozu "I agree completely, this should be published with details." Now it is. | |
| Oct 13, 2020 at 19:54 | history | edited | Piotr Hajlasz | CC BY-SA 4.0 |
added 304 characters in body
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| Feb 18, 2020 at 2:17 | answer | added | Behnam Esmayli | timeline score: 2 | |
| Mar 6, 2019 at 9:55 | comment | added | rozu | The values $\omega_k$ in the inequality should just be the multipliers to the diameter/2-expression that one puts in the definition of the corresponding Hausdorff measure, whatever one prefers for nonintegers. I agree completely, this should be published with details. I saw the coarea inequality used in literature also for noninteger exponents. But I don't remember where. | |
| Mar 5, 2019 at 18:10 | comment | added | Piotr Hajlasz | @rozu I also thought that Reichel never used integer values of $m$ and $n$, but if I correctly remember he defined $\omega_n$ only for integer value of $n$. That puzzled me. I am quite surprised that this so important and beautiful inequality has never been published with all details. | |
| Mar 5, 2019 at 14:31 | comment | added | rozu | I think it is true in the generality stated not assuming separability or integer exponents. For Question 1, if it is true for separable spaces, then the general case follows because if A is not separable, then the right-hand-side of the inequality is infinite anyway. Neither in Federer or the thesis of Reichel I could find any use of integer exponents. (In the thesis of Reichel, integer exponents are mentioned once following Definition 7.3, but this can be defined for non-integers as well). But I can't say it for sure... | |
| Mar 5, 2019 at 2:26 | history | asked | Piotr Hajlasz | CC BY-SA 4.0 |