Radial oscillation of harmonic functions in the Korenblum class
Complex Variables
2012-09-20 v1
Abstract
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.
Cite
@article{arxiv.1006.2325,
title = {Radial oscillation of harmonic functions in the Korenblum class},
author = {Yurii Lyubarskii and Eugenia Malinnikova},
journal= {arXiv preprint arXiv:1006.2325},
year = {2012}
}