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Dimension distortion of hyperbolically convex maps

Author(s): S. Rohde
Journal: Proc. Amer. Math. Soc. 135 (2007), 1169-1173.
MSC (2000): Primary 30C35
Posted: November 13, 2006
MathSciNet review: 2262922
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Abstract: In this note, we provide an answer to a question of D. Mejia and Chr. Pommerenke, by constructing a hyperbolically convex subdomain of the unit disc $\mathbb{D}$ so that the conformal map from $\mathbb{D}$ to maps a set of dimension 0 on $\partial\mathbb{D}$ to a set of dimension

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Additional Information:

S. Rohde
Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195

DOI: 10.1090/S0002-9939-06-08562-5
PII: S 0002-9939(06)08562-5
Received by editor(s): November 9, 2004
Received by editor(s) in revised form: November 16, 2005
Posted: November 13, 2006
Additional Notes: The author was partially supported by NSF Grants DMS-0201435 and DMS-0244408.
Communicated by: Juha M. Heinonen
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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