Distortion in the Spherical Metric under Quasiconformal Mappings
نویسندگان
چکیده
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 : (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.
منابع مشابه
2000]Primary 30C80 DISTORTION IN THE SPHERICAL METRIC UNDER QUASICONFORMAL MAPPINGS
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, q) → (R, 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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