半平面中一类次调和函数的增长估计

Growth Estimates for a Class of Subharmonic Functions in the Half Plane

该文证明了半平面中一类由修正核表示的次调和函数在无穷远处有增长估计u(z)=o(y^(1-α)|z|^(m+α)),推广了解析函数与调和函数的结果.

A class of subharmonic functions represented by the modified kernels is proved to have the growth estimates u（z） = o（y^（1-α）｜z｜^（m＋α）） at infinity in the upper half plane C_＋,which generalizes the growth properties of analytic functions and harmonic functions.