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Distortion Theorem for Bloch Mappings on the Unit Ball B~n Jian Fei WANG Tai Shun LIU In this paper,we obtain a version of subordination lemma for hyperbolic disk relative to hyperbolic geometry on the unit disk D.This subordination lemma yields the distortion theorem for Bloch mappings f∈H(B~n) satisfying ||f||_0 = 1 and det f′(0) =α∈(0,1],where
Distortion Theorem for Bloch Mappings on the Unit Ball B ~ n Jian Fei WANG Tai Shun LIU In this paper, we obtain a version of subordination lemma for hyperbolic disk relative to hyperbolic geometry on the unit disk D. This subordination lemma yields the distortion theorem for Bloch mappings f∈H (B ~ n) satisfying || f || _0 = 1 and det f ’(0) = α∈ (0,1], where