Israel Journal of Mathematics

, Volume 158, Issue 1, pp 129–157 | Cite as

Uniform domains and capacity

  • Stephen M. Buckley
  • David A. Herron
Article
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Abstract

We characterize the class of uniform domains in terms of capacity. As a byproduct of this investigation we provide results describing when a Loewner domain will be a quasiextremal distance domain.

Keywords

Quasiconformal Mapping Carnot Group Cross Ratio Uniform Domain Disjoint Ball 
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Copyright information

© The Hebrew University of Jerusalem 2007

Authors and Affiliations

  • Stephen M. Buckley
    • 1
  • David A. Herron
    • 2
  1. 1.Department of MathematicsNational University of IrelandMaynooth, Co. KildareIreland
  2. 2.Department of MathematicsUniversity of CincinnatiCincinnatiUSA

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