On pseudospheres that are quasispheres

  • Andrew Vogel

    Syracuse University, USA
  • John L. Lewis

    University of Kentucky, Lexington, USA


We construct bounded domains not equal to a ball in dimensional Euclidean space, , for which is homeomorphic to a sphere under a quasiconformal mapping of and such that dimensional Hausdorff measure equals harmonic measure on .

Cite this article

Andrew Vogel, John L. Lewis, On pseudospheres that are quasispheres. Rev. Mat. Iberoam. 17 (2001), no. 2, pp. 221–255

DOI 10.4171/RMI/294