Radial growth of functions from the Korenblum space
Classical Analysis and ODEs
2012-09-20 v1 Complex Variables
Abstract
We study radial behavior of analytic and harmonic functions, which admit a certain majorant in the unit disk. We prove that extremal growth or decay may occur only along small sets of radii and give precise estimates of these exceptional sets.
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Cite
@article{arxiv.0903.5125,
title = {Radial growth of functions from the Korenblum space},
author = {A. Borichev and Yu. Lyubarskii and E. Malinnikova and P. Thomas},
journal= {arXiv preprint arXiv:0903.5125},
year = {2012}
}
Comments
18 pages