Generalized quasidisks and conformality II

Changyu Guo

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arXiv · 1311.1967

Generalized quasidisks and conformality II

Changyu Guo

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Abstract

We introduce a weaker variant of the concept of three point property, which is equivalent to a non-linear local connectivity condition introduced in [12], sufficient to guarantee the extendability of a conformal map f from the unit disk onto a domain to the entire plane as a homeomorphism of locally exponentially integrable distortion. Sufficient conditions for extendability to a homeomorphism of locally p-integrable distortion are also given.

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Changyu Guo. 2013-11-08. Generalized quasidisks and conformality II. https://arxiv.org/abs/1311.1967

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