半平面上一类下调和函数的增长估计
Growth Estimates for a Class of Subharmonic Functions in a Half Plane
摘要：
证明了由修正核表示的一类下调和函数在上半平面${\bf C}_{+}$中无穷远处具有增长估计$u(z)= o(y^{1-α}|z|^{m+α})$，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 represented by the modified kernels are proved to have the growth estimates $u(z)= o(y^{1-α}|z|^{m+α})$ at infinity in the upper half plane ${\bf C}_{+}$, which generalizes the growth properties of analytic functions and harmonic functions.
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