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Article Dans Une Revue Algebra i Analiz Année : 2009

Radial growth of functions from the Korenblum space

Résumé

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.

Dates et versions

hal-00950110 , version 1 (20-02-2014)

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A. Borichev, Yu. Lyubarskii, E. Malinnikova, Pascal J. Thomas. Radial growth of functions from the Korenblum space. Algebra i Analiz, 2009, 21 (6), pp.47-65. ⟨10.1090/S1061-0022-2010-01123-3⟩. ⟨hal-00950110⟩
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