Timeline for Examples of "almost" Ahlfors regular measures
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 28, 2022 at 13:36 | comment | added | Iosif Pinelis | @A_K : Yes, except that I think you meant $r^D$ in place of $n^D$. | |
| Feb 28, 2022 at 9:14 | comment | added | ABIM | So if insead only required $\mu(b(x,r))\lesssim n^D$ (and not the lower-inequality) then this would only imply that $\mu$ has a density with respect to $\lambda$ but not that this density is bounded away from $0$ and only bounded away from $\infty$? | |
| Feb 24, 2022 at 15:26 | comment | added | Iosif Pinelis | If $d\ne D$, then the inequality $cr^d\le Cr^D$ cannot hold for all $r>0$. (My previous comment was incorrect.) | |
| Feb 24, 2022 at 15:19 | comment | added | ABIM | Right, and my definition were on a Riemannian manifold, then the same (argument...but patched locally) would work to conclude that $\mu$ must have a density with respect to the Riemannian Volume measure; no? | |
| Feb 24, 2022 at 14:21 | vote | accept | ABIM | ||
| Feb 24, 2022 at 14:17 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 209 characters in body
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| Feb 24, 2022 at 14:11 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |