Radial growth of harmonic functions in the unit ball
Classical Analysis and ODEs
2012-09-20 v1
Abstract
We study harmonic functions which admit a certain majorant in the unit ball in . 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.
Cite
@article{arxiv.1006.5000,
title = {Radial growth of harmonic functions in the unit ball},
author = {Kjersti Solberg Eikrem and Eugenia Malinnikova},
journal= {arXiv preprint arXiv:1006.5000},
year = {2012}
}