Quasiconformal Deformations and Volume Growth |
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| Authors: | Herron David A |
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| Institution: | Department of Mathematics, University of Cincinnati PO Box 210025, Cincinnati, OH 45221, USA, david.herron{at}math.uc.edu |
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| Abstract: | We determine when a metric measure space admits a uniformizingdensity which has Ahlfors regular volume growth. A characterizationof uniformizing conformal densities in terms of doubling anda lifting procedure are the key ingredients in our presentation.We also furnish an application characterizing metric doublingmeasures. 2000 Mathematics Subject Classification 30C65 (primary),20F67, 30F45, 51F99 (secondary). |
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