Timeline for Operator norm of shift operator for finite measure spaces
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 5, 2020 at 14:03 | comment | added | ABIM | Actually, your example was very illustrative since I mistakenly has a Gaussian measure visualized (which of-course has no blowups). Thanks a lot! :) | |
| Jun 5, 2020 at 14:02 | comment | added | Yemon Choi | I could have said this in a similar style to Nik Weaver's answer: the basic issue is that translation is good for Lebesgue measure because you don't change the "mass" assigned to a given region when you translate it. But as soon as some regions have "a lot more $\nu$-mass than Lebesgue mass" you are going to run into trouble by shifting an $f$-shaped pile of soil from regions with small $\nu$-mass to a place which has large $\nu$-mass | |
| Jun 5, 2020 at 14:02 | comment | added | ABIM | This is a very interesting point Yemon. I didn't notice it for example... | |
| Jun 5, 2020 at 13:58 | history | answered | Yemon Choi | CC BY-SA 4.0 |