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arXiv · 1006.5000

Radial growth of harmonic functions in the unit ball

Kjersti Solberg Eikrem·Eugenia Malinnikova
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Abstract

We study harmonic functions which admit a certain majorant in the unit ball in $\R^m $. We prove that when the majorant fulfills a doubling condition, the extremal growth or decay may occur only along small sets of radii, and we give precise estimates of these exceptional sets.

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Kjersti Solberg Eikrem, Eugenia Malinnikova. 2010-06-25. Radial growth of harmonic functions in the unit ball. https://arxiv.org/abs/1006.5000

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