We construct bounded domains not equal to a ball in dimensional Euclidean space, , for which D 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