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Inner Mappings, Hyperbolic Gradients and Composition Operators |
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| Authors: | Evgueni Doubtsov |
| Institution: | 1. St. Petersburg Department of V. A. Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia |
| Abstract: | Let φ be a holomorphic mapping between complex unit balls. We obtain quantitative versions of the following heuristic principle: if the hyperbolic gradient of φ does not grow sufficiently rapidly, then φ is far from being inner. |
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