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A note on radial variation of analytic functions
Published online by Cambridge University Press: 26 February 2010
Abstract
Let F denote a family of analytic functions in the unit disk Δ. Suppose that one has a “sharp” estimate on the almost everywhere radial variation of functions in the class Δ. We prove that if Δ is contained in the Nevanlinna class N then the estimate will be “sharp” in the algebra A of functions analytic in Δ and continuous in Δ.
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- Copyright © University College London 1991