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Uniform domains and capacity

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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.

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Authors and Affiliations

  1. Department of Mathematics, National University of Ireland, Maynooth, Co. Kildare, Ireland

    Stephen M. Buckley

  2. Department of Mathematics, University of Cincinnati, Cincinnati, OH, 45221, USA

    David A. Herron

Authors
  1. Stephen M. Buckley
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  2. David A. Herron
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Additional information

The first author was supported by Enterprise Ireland.

The second author was supported in part by the Taft Research Center.

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Buckley, S.M., Herron, D.A. Uniform domains and capacity. Isr. J. Math. 158, 129–157 (2007). https://doi.org/10.1007/s11856-007-0007-9

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  • DOI: https://doi.org/10.1007/s11856-007-0007-9

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