Local Boundary Behaviour

Pommerenke, Christian

doi:10.1007/978-3-662-02770-7_11

Local Boundary Behaviour

Christian Pommerenke²

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Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 299))

Abstract

We first consider quasicircles J for which

$$\left| {a - w} \right| + \left| {w - b} \right| = (1 + o(1))\left| {a - b} \right|asa,b \in J,\left| {a - b} \right| \to 0$$

where w lies on J between a and b.

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Fachbereich Mathematik, Technische Universität, 1000, Berlin 12, Germany
Christian Pommerenke

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Christian Pommerenke
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Pommerenke, C. (1992). Local Boundary Behaviour. In: Boundary Behaviour of Conformal Maps. Grundlehren der mathematischen Wissenschaften, vol 299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02770-7_11

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DOI: https://doi.org/10.1007/978-3-662-02770-7_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08129-3
Online ISBN: 978-3-662-02770-7
eBook Packages: Springer Book Archive

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