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Dimension distortion of hyperbolically convex maps
Authors:S Rohde
Institution:Department of Mathematics, University of Washington, Seattle, Washington 98195
Abstract:In this note, we provide an answer to a question of D. Mejia and Chr. Pommerenke, by constructing a hyperbolically convex subdomain $ G$ of the unit disc $ \mathbb{D}$ so that the conformal map from $ \mathbb{D}$ to $ G$ maps a set of dimension 0 on $ \partial\mathbb{D}$ to a set of dimension $ 1.$

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