Keldystt-lavrexttev counterexample and means of powers of a conformal mapping. 1. construction of a mapping

We construct a region with infinitely many cusps on its boundary such that it is possible to estimate the derivative of a conformal mapping of the unit disk onto this region from, below. We use some ideas taken from the construction of a famous Keldysh-Lavrentiev example. Bibliography: 2 titles.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-05, Vol.182 (5), p.724
Main Authors: Hedenmalm, H, Shirokov, N.A
Format: Article
Language:English
Online Access:Get full text
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Summary:We construct a region with infinitely many cusps on its boundary such that it is possible to estimate the derivative of a conformal mapping of the unit disk onto this region from, below. We use some ideas taken from the construction of a famous Keldysh-Lavrentiev example. Bibliography: 2 titles.
ISSN:1072-3374
1573-8795