Conformal mappings of domains satisfying a wedge condition
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- by Frank David Lesley PDF
- Proc. Amer. Math. Soc. 93 (1985), 483-488 Request permission
Abstract:
A plane Jordan curve $\Gamma$ satisfies an interior (exterior) wedge condition if for some $\alpha \in (0,1)$ there is a fixed wedge of opening $\alpha \pi$ such that for any $\omega \in \Gamma$ one may place a wedge inside (outside) $\Gamma$ with vertex at $\omega$. Let $f$ be a conformal mapping of the disk $D$ onto the interior of $\Gamma$. We establish Hölder continuity of $f({f^{ - 1}})$ on $\partial D(\Gamma )$ with best possible exponents in terms of $\alpha$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 483-488
- MSC: Primary 30C20; Secondary 30C35
- DOI: https://doi.org/10.1090/S0002-9939-1985-0774007-0
- MathSciNet review: 774007