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arXiv:1006.2325 [math.CV]AbstractReferencesReviewsResources

Radial oscillation of harmonic functions in the Korenblum class

Yurii Lyubarskii, Eugenia Malinnikova

Published 2010-06-11Version 1

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.

Journal: Bull. Lond. Math. Soc. 44, no. 1, 68-84 (2012)
Categories: math.CV
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