Geodesic
Asymptotics of the coefficient quasiconformality, and the boundary behavior of a mapping of a ball
Sbornik. Mathematics, Tome 74 (1993) no. 2, pp. 583-591 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that if a quasiconformal automorphism $f\colon B^n\to B^n$ of the unit ball in $\mathbf R^n$ $(n\geqslant 2)$ has coefficient of quasiconformality $K_f(r)=\sup\limits_{|x|\le r}k(f,x)$ in the ball of radius $r<1$ with asymptotic growth such that $\int\limits^1K(r)\,dr<\infty$, then it has a radial limit at almost every point of the boundary. This asymptotic growth of $K(r)$ is sharp in a certain sense. 
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M. N. Pantyukhina. Asymptotics of the coefficient quasiconformality, and the boundary behavior of a mapping of a ball. Sbornik. Mathematics, Tome 74 (1993) no. 2, pp. 583-591. http://geodesic.mathdoc.fr/item/SM_1993_74_2_a16/

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