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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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