Radial growth of functions from the Korenblum space

Details Radial growth of functions from the Korenblum space Radial growth of functions from the Korenblum space

2009-03-30

arxiv.org/abs/0903.5125v1

Algebra i Analiz, 2009, 21:6, 47-65; St. Petersburg Math. J. 21 (2010), 877-891

Mathematics

Classical Analysis and ODEs

18 pages

Scientific paper

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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