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Distortion in the Spherical Metric under Quasiconformal Mappings

Peter A. Hasto
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Abstract

This paper contains bounds for the distortion in the spherical metric, that is to say bounds for the constant of Holder continuity of mappings f : (\Rn,q) -> (\Rn, q) where q denotes the spherical metric. The mappings considered are K-quasiconformal (K >= 1) and satisfy some normalizations or restrictions. All bounds are explicit and asymptotically sharp as K -> 1.

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BibTeXRIS

Peter A. Hasto. 2001-06-27. Distortion in the Spherical Metric under Quasiconformal Mappings. https://arxiv.org/abs/math/0106045

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