Quasiconformal deformations and volume growth

• Autores: David A. Herron
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 92, Nº 1, 2006, págs. 161-199
• Idioma: inglés
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• Resumen

  • 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.