Radial growth of harmonic functions in the unit ball

Details Radial growth of harmonic functions in the unit ball Radial growth of harmonic functions in the unit ball

2010-06-25

arxiv.org/abs/1006.5000v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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