Abstract
We construct bounded domains D not equal to a ball in n ≥ 3 dimensional Euclidean space, ℝn, for which ∂D is homeomorphic to a sphere under a quasiconformal mapping of ℝn and such that n - 1 dimensional Hausdorff measure equals harmonic measure on ∂D.
Original language | English (US) |
---|---|
Pages (from-to) | 221-255 |
Number of pages | 35 |
Journal | Revista Matematica Iberoamericana |
Volume | 17 |
Issue number | 2 |
State | Published - 2001 |
ASJC Scopus subject areas
- General Mathematics