A symmetry theorem revisited
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- by John Lewis and Andrew Vogel PDF
- Proc. Amer. Math. Soc. 130 (2002), 443-451 Request permission
Abstract:
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.References
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Additional Information
- John Lewis
- Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027
- Email: john@ms.uky.edu
- Andrew Vogel
- Affiliation: Department of Mathematics, Syracuse University, Syracuse, New York 13244
- MR Author ID: 310400
- Email: alvogel@syr.edu
- Received by editor(s): June 20, 2000
- Published electronically: June 6, 2001
- Additional Notes: The first author was supported in part by an NSF grant
- Communicated by: Juha M. Heinonen
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 443-451
- MSC (1991): Primary 31B05, 31B20
- DOI: https://doi.org/10.1090/S0002-9939-01-06200-1
- MathSciNet review: 1862124