2003
DOI: 10.1090/s1088-4173-03-00088-2
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Distortion in the spherical metric under quasiconformal mappings

Abstract: Abstract. This paper contains bounds for the distortion in the spherical metric, that is to say, bounds for the constant of Hölder continuity of mappings f : (R n , q) → (R n , 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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