Asymptotic Behaviour for a Class of Subharmonic Functions in a Half Space
Abstract
Description
A class of subharmonic functions are proved to have the growth estimates
$u(x)= o(x_n^{1-\fracα{p}}|x|^{\fracγ{p}+\frac{n-1}{q}-n+\fracα{p}})$ at infinity in the upper half space of ${\bf R}^{n}$, which generalizes the growth properties of analytic functions and harmonic functions.
12 pages
12 pages