Radial growth of functions from the Korenblum space

Autor:	Borichev, A., Lyubarskii, Yu., Malinnikova, E., Thomas, P.
Rok vydání:	2009
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Complex Variables 31A20
Zdroj:	Algebra i Analiz, 2009, 21:6, 47-65; St. Petersburg Math. J. 21 (2010), 877-891
Druh dokumentu:	Working Paper
Popis:	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. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0903.5125 Zobrazit plný text záznamu View this record from Arxiv