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arXiv · 0811.2126

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

Pan Guoshuang·Deng Guantie
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Abstract

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.

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Pan Guoshuang, Deng Guantie. 2008-11-13. Asymptotic Behaviour for a Class of Subharmonic Functions in a Half Space. https://arxiv.org/abs/0811.2126

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