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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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An elementary proof of Benedicks’s and Carleson’s estimates of harmonic measure of linear sets
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by Mikhail Sodin PDF
Proc. Amer. Math. Soc. 121 (1994), 1079-1085 Request permission


Benedicks and Carleson proved sophisticated estimates of harmonic measure of linear sets which have found applications in approximation theory and harmonic analysis. We give an elementary proof of these estimates. This proof allows us to relax the assumptions and strengthen estimates.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 121 (1994), 1079-1085
  • MSC: Primary 30C85; Secondary 31A15
  • DOI:
  • MathSciNet review: 1189752