Distortion in the Spherical Metric under Quasiconformal Mappings

Details Distortion in the Spherical Metric under Quasiconformal Mappings Distortion in the Spherical Metric under Quasiconformal Mappings

2001-06-07

arxiv.org/abs/math/0106045v2

Mathematics

Classical Analysis and ODEs

9 pages, 1 figure

Scientific paper

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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