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
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