Radial growth of Bloch functions in the complex ball |
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Authors: | Evgueni Doubtsov |
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Institution: | 1. St. Petersburg Department of V.A. Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia
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Abstract: | We show that N.G. Makarov’s law of the iterated logarithm governs the radial growth of weighted Bloch functions in the complex unit ball. The argument is based on an analog of M. Weiss’ theorem for special lacunary series in the ball. |
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