Radial growth of functions in the Korenblum space

Borichev, A.; Lyubarskii, Yu.; Malinnikova, E.; Thomas, P.

doi:10.1090/S1061-0022-2010-01123-3

Radial growth of functions in the Korenblum space
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by A. Borichev, Yu. Lyubarskii, E. Malinnikova and P. Thomas

St. Petersburg Math. J. 21 (2010), 877-891

DOI: https://doi.org/10.1090/S1061-0022-2010-01123-3

Published electronically: September 22, 2010

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Abstract:

The radial behavior of analytic and harmonic functions that admit a certain majorant in the unit disk is studied. We prove that the extremal growth or decay may occur only along small sets of radii and give precise estimates for these exceptional sets.

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