Timeline for Conformal mappings and its singularity
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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May 18, 2019 at 6:37 | vote | accept | sharpe | ||
May 18, 2019 at 6:29 | comment | added | sharpe | I see! Thank you very much for teaching me very carefully. | |
May 18, 2019 at 6:26 | comment | added | fedja | It is just Koebe 1/4 theorem for univalent functions. | |
May 18, 2019 at 6:21 | comment | added | sharpe | Thank you for your very kind reply. For the proof, you use a Harnack chain with length $N$. For the construction of this chain, you use the definition of John-domain, right? I would like to ask one more question, why is $|\Phi'(w)|$ and $d/(1-|w|)$ comparable? This is a consequence of a boundary Harnack principle? Indeed, $d/(1-|w|)$ is regarded as a ratio of harmonic functions. | |
May 17, 2019 at 20:46 | history | answered | fedja | CC BY-SA 4.0 |