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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Comparison between analytic capacity and the Buffon needle probability
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by Takafumi Murai PDF
Trans. Amer. Math. Soc. 304 (1987), 501-514 Request permission

Abstract:

We show that analytic capacity and the Buffon needle probability are not comparable.
References
  • Alexander M. Davie and Bernt Øksendal, Analytic capacity and differentiability properties of finely harmonic functions, Acta Math. 149 (1982), no. 1-2, 127–152. MR 674169, DOI 10.1007/BF02392352
  • G. David, A lower estimate for the norm of the Cauchy integral operator on Lipschitz curves, preprint.
  • John Garnett, Analytic capacity and measure, Lecture Notes in Mathematics, Vol. 297, Springer-Verlag, Berlin-New York, 1972. MR 0454006
  • L. D. Ivanov, On sets of analytic capacity zero, Lecture Notes in Math., vol. 1043, Springer-Verlag, 1984, pp. 498-501. J. L. Journé, Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón, Lecture Notes in Math., vol. 994, Springer-Verlag, 1983. D. E. Marshall, Removable sets for bounded analytic functions, Lecture Notes in Math., vol. 1043, Springer-Verlag, 1984, pp. 485-490.
  • Takafumi Murai, Boundedness of singular integral operators of Calderón type. VI, Nagoya Math. J. 102 (1986), 127–133. MR 846134, DOI 10.1017/S0027763000000477
  • L. A. Santaló, Introduction to integral geometry, Publ. Inst. Math. Univ. Nancago, II, Hermann & Cie, Paris, 1953. MR 0060840
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 304 (1987), 501-514
  • MSC: Primary 30C85; Secondary 28A12
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0911082-0
  • MathSciNet review: 911082