Radial oscillation of harmonic functions in the Korenblum class

Details Radial oscillation of harmonic functions in the Korenblum class Radial oscillation of harmonic functions in the Korenblum class

2010-06-11

arxiv.org/abs/1006.2325v1

Mathematics

Complex Variables

Scientific paper

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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