Mean growth of Bloch functions and Makarov’s law of the iterated logarithm
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- by Rodrigo Bañuelos and Charles N. Moore PDF
- Proc. Amer. Math. Soc. 112 (1991), 851-854 Request permission
Abstract:
The authors construct an example of a Bloch function on the unit disc whose circular ${L^2}$ means grow at the maximal possible rate but which has no lower bound in the law of the iterated logarithm for Bloch functions. This answers a question of Przytycki [4, p. 154] and Makarov [3, p. 42].References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 851-854
- MSC: Primary 30C35; Secondary 46E15
- DOI: https://doi.org/10.1090/S0002-9939-1991-1057948-1
- MathSciNet review: 1057948