Timeline for Lower bounds from Fourier dimension?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Nov 11, 2015 at 1:13 | comment | added | Christian Remling | It is known that $\limsup \mu(B_r)/r^s$ is relatively well behaved and one has analogs of the Lebesgue differentiation theorem, but I thought the OP was asking the much more difficult question about the behavior of $\liminf\ldots$. | |
| Nov 11, 2015 at 0:29 | comment | added | Pablo Shmerkin | You can ask for $\mu(B(x,r))\ge r^s$ for all $x$ in the support of $\mu$, there are certainly many measures satisfying this for some $s$, but I still don't see any relation to Fourier dimension. | |
| Nov 10, 2015 at 23:34 | comment | added | Bjørn Kjos-Hanssen | I guess what I really want for the Fourier dimension question is more like $\mu(B(x,r))\ge r^s$ for all $x$, not just $\mu$-almost every $x$, but then that doesn't exactly make sense either... | |
| Nov 10, 2015 at 23:28 | vote | accept | Bjørn Kjos-Hanssen | ||
| Nov 10, 2015 at 22:27 | history | answered | Pablo Shmerkin | CC BY-SA 3.0 |