Asymptotic Behaviour for a Class of Subharmonic Functions in a Half Space

Details Asymptotic Behaviour for a Class of Subharmonic Functions in a Half Space Asymptotic Behaviour for a Class of Subharmonic Functions in a Half Space

2008-11-13

arxiv.org/abs/0811.2126v1

Mathematics

Functional Analysis

12 pages

Scientific paper

A class of subharmonic functions are proved to have the growth estimates
$u(x)=
o(x_n^{1-\frac{\alpha}{p}}|x|^{\frac{\gamma}{p}+\frac{n-1}{q}-n+\frac{\alpha}{p}})$
at infinity in the upper half space of ${\bf R}^{n}$, which generalizes the
growth properties of analytic functions and harmonic functions.

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