It is a classical result that every subharmonic function, defined and ℒp-integrable for some p, 0 < p < +∞, on the unit disk 𝔻 of the complex plane ℂ is for almost all θ of the form o((1 − |𝓏|)−1/p), uniformly as 𝓏 → e𝒾θ in any Stolz domain. Recently Pavlović gave a related integral inequality for absolute values of harmonic functions,also defined on the unit disk in the complex plane. We generalize Pavlović’s result to so called quasi-nearly subharmonic functions defined on rather general domains in ℝ𝓃, 𝓃 ≥ 2.
@article{1457,
title = {On an inequality related to the radial growth of subharmonic functions},
journal = {CUBO, A Mathematical Journal},
volume = {11},
year = {2009},
language = {en},
url = {http://dml.mathdoc.fr/item/1457}
}
Riihentaus, Juhani. On an inequality related to the radial growth of subharmonic functions. CUBO, A Mathematical Journal, Tome 11 (2009) . http://gdmltest.u-ga.fr/item/1457/