Timeline for A constant for univalent functions
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 17, 2022 at 10:56 | comment | added | Luka Thaler | @EmilJeřábek you are absolutely right! It seems that I've overlooked the condition that maps considered here are univalent. | |
| Feb 16, 2022 at 9:06 | comment | added | Emil Jeřábek | The question can be restated as: what is the (Euclidean) inradius of a domain with conformal radius $1$? | |
| Feb 16, 2022 at 9:01 | comment | added | Emil Jeřábek | @LukaThaler No, not really. For any such $f$, the minimum modulus of $z\notin f(D)$ is between $1/4$ and $1$; the upper bound indeed follows from Schwarz's lemma, as noted by the OP. | |
| Feb 15, 2022 at 18:48 | review | Close votes | |||
| Mar 2, 2022 at 8:29 | |||||
| Feb 15, 2022 at 18:12 | comment | added | Emil Jeřábek | The question is not very clear to me, but you may be looking for the Koebe 1/4 theorem. | |
| Feb 15, 2022 at 18:00 | comment | added | MathArt | Perhaps it follows at once from Schwarz lemma that $r=1$. | |
| Feb 15, 2022 at 17:37 | history | asked | MathArt | CC BY-SA 4.0 |