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arxiv: 0903.5125 · v1 · pith:OEDNRKLInew · submitted 2009-03-30 · 🧮 math.CA · math.CV

Radial growth of functions from the Korenblum space

classification 🧮 math.CA math.CV
keywords functionsgrowthradialsetsadmitalonganalyticbehavior
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We study radial behavior of analytic and harmonic functions, which admit a certain majorant in the unit disk. We prove that extremal growth or decay may occur only along small sets of radii and give precise estimates of these exceptional sets.

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