半空间中一类下调和函数的渐近性质
Asymptotic Behaviour for a Class of Subharmonic Functions in a Half Space
摘要：
证明了一类下调和函数在${\bf R}^{n}$的上半空间中无穷远处具有增长估计$u(x)= o(x_n^{1-\fracα{p}}|x|^{\fracγ{p}+\frac{n-1}{q}-n+\fracα{p}})$，推广了解析函数和调和函数的增长性质.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
