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Results tagged with continuity
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user 1162
6
votes
Hölder continuity of Green function for simply connected domains
Scaling $\mathcal K$ by a factor $1/Cap(\mathcal K)$, we can assume $Cap(\mathcal{K})=1$. In this case the estimate
$$
G(z) \leq C \sqrt{
{\rm dist}(z,\mathcal K)}
$$
indeed follows from Koebe-typ …
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