On an inequality related to the radial growth of subharmonic functions
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Juhani Riihentaus
juhani.riihentaus@joensuu.fi
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Abstract
It is a classical result that every subharmonic function, defined and â„’p-integrable for some p, 0 < p < +∞, on the unit disk ð”» of the complex plane â„‚ is for almost all θ of the form o((1 − |ð“|)−1/p), uniformly as ð“ → eð’¾Î¸ 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 â„ð“ƒ, 𓃠≥ 2.
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Published
2009-09-01
How to Cite
[1]
J. Riihentaus, “On an inequality related to the radial growth of subharmonic functions”, CUBO, vol. 11, no. 4, pp. 127–136, Sep. 2009.
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