Lipschltz condition for conformal maps and john domains

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Duration: 3 min 30 s
Description: Let E⊂C be a simply connected bounded domain, f a conformal mapping {w:|w|<1)=: D→E. Becker and Pommerenke [2] constructed the examplc of a domain E such that E is not a John domain [4,6], but f satisfies on D a Hölder condition with some exponent α:0<1. In this paper an example of a domain with similar properties for α=1 is constructed.
В. В. Андриевскии
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