A symmetry theorem revisited

John Lewis, Andrew Vogel

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We show that if harmonic measure and Hausdorff measure are equal on the boundary of certain domains in Euclidean n-space, then these domains are necessarily balls.

Original languageEnglish (US)
Pages (from-to)443-451
Number of pages9
JournalProceedings of the American Mathematical Society
Issue number2
StatePublished - 2002
Externally publishedYes


  • Dirichlet problem
  • Green's function
  • Harmonic measure
  • Hausdorff measure
  • Quasiconformal

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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