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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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Differentiation of Zygmund functions
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by David C. Ullrich PDF
Proc. Amer. Math. Soc. 117 (1993), 195-197 Request permission

Abstract:

The "little-$o$ Zygmund class" ${\lambda ^{\ast }}$ contains a nowhere-differentiable function.
References
  • D. Gnuschke-Hauschild and Ch. Pommerenke, On Bloch functions and gap series, J. Reine Angew. Math. 367 (1986), 172–186. MR 839130, DOI 10.1515/crll.1986.367.172
    • N. G. Makarov, Probability methods in conformal mappings. II, LOMI preprint E-14-88, Leningrad, 1988.
  • N. G. Makarov, On the radial behavior of Bloch functions, Dokl. Akad. Nauk SSSR 309 (1989), no. 2, 275–278 (Russian); English transl., Soviet Math. Dokl. 40 (1990), no. 3, 505–508. MR 1036138
  • A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 117 (1993), 195-197
  • MSC: Primary 30D45; Secondary 30B10, 30C35, 30D40, 42A55
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1146866-8
  • MathSciNet review: 1146866