JournalsrmiVol. 17, No. 3pp. 607–642

Weak slice conditions, product domains, and quasiconformal mappings

  • Stephen M. Buckley

    National University of Ireland, Maynooth, Ireland
  • Alexander Stanoyevitch

    University of Guam, Mangilao, USA
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Abstract

We investigate geometric conditions related to Hölder imbeddings and show among other things that the only bounded Euclidean domains of the form U×VU \times V that are quasiconformally equivalent to inner uniform domains are inner uniform domains.

Cite this article

Stephen M. Buckley, Alexander Stanoyevitch, Weak slice conditions, product domains, and quasiconformal mappings. Rev. Mat. Iberoam. 17 (2001), no. 3, pp. 607–642

DOI 10.4171/RMI/306