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QUASICONFORMAL DEFORMATIONS AND VOLUME GROWTH

Published online by Cambridge University Press:  19 December 2005

DAVID A. HERRON
DAVID A. HERRON
Affiliation:
Department of Mathematics, University of Cincinnati, PO Box 210025, Cincinnati, OH 45221, USA, [email protected]
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Abstract

We determine when a metric measure space admits a uniformizing density which has Ahlfors regular volume growth. A characterization of uniformizing conformal densities in terms of doubling and a lifting procedure are the key ingredients in our presentation. We also furnish an application characterizing metric doubling measures.

Keywords

30C65 (primary)20F6730F4551F99 (secondary)
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 92 , Issue 1 , January 2006 , pp. 161 - 199
Copyright
2006 London Mathematical Society

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