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arxiv: 1006.2325 · v1 · pith:GDM46OLBnew · submitted 2010-06-11 · 🧮 math.CV

Radial oscillation of harmonic functions in the Korenblum class

classification 🧮 math.CV
keywords functionskorenblumclassharmonicradialadmitalmostalong
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We study radial behavior of harmonic functions in the unit disk belonging to the Korenblum class. We prove that functions which admit two-sided Korenblum estimate either oscillate or have slow growth along almost all radii.

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