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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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The distribution of Rademacher sums
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by S. J. Montgomery-Smith PDF
Proc. Amer. Math. Soc. 109 (1990), 517-522 Request permission

Abstract:

We find upper and lower bounds for ${\Pr (}\Sigma \pm {x_n} \geq t)$, where ${x_1},{x_2}, \ldots$ are real numbers. We express the answer in terms of the $K$-interpolation norm from the theory of interpolation of Banach spaces.
References
  • Colin Bennett and Robert Sharpley, Interpolation of operators, Pure and Applied Mathematics, vol. 129, Academic Press, Inc., Boston, MA, 1988. MR 928802
  • Kai Lai Chung, A course in probability theory, 2nd ed., Probability and Mathematical Statistics, Vol. 21, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1974. MR 0346858
  • Tord Holmstedt, Interpolation of quasi-normed spaces, Math. Scand. 26 (1970), 177–199. MR 415352, DOI 10.7146/math.scand.a-10976
  • Jean-Pierre Kahane, Some random series of functions, 2nd ed., Cambridge Studies in Advanced Mathematics, vol. 5, Cambridge University Press, Cambridge, 1985. MR 833073
  • Paul-André Meyer, Martingales and stochastic integrals. I. Lecture Notes in Mathematics. Vol. 284, Springer-Verlag, Berlin-New York, 1972. MR 0426145
  • S. J. Montgomery-Smith, The cotype of operators from $C(K)$, Ph.D. thesis, Cambridge, August 1988.
  • Gilles Pisier, De nouvelles caractérisations des ensembles de Sidon, Mathematical analysis and applications, Part B, Adv. in Math. Suppl. Stud., vol. 7, Academic Press, New York-London, 1981, pp. 685–726 (French, with English summary). MR 634264
  • V. A. Rodin and E. M. Semyonov, Rademacher series in symmetric spaces, Anal. Math. 1 (1975), no. 3, 207–222 (English, with Russian summary). MR 388068, DOI 10.1007/BF01930966
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 109 (1990), 517-522
  • MSC: Primary 60C05; Secondary 46M35, 60E15, 60G50
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1013975-0
  • MathSciNet review: 1013975