半空间中一类下调和函数的增长估计
Growth Estimates for a Class of Subharmonic Functions in a Half Space
摘要:
证明了由修正核表示的一类下调和函数在Rn上半空间无穷远处的增长估计u(x)=o(x_{n} ^{1-alpha} |x| ^{m+alpha}),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(x) =o(x_{n}^{1-alpha}|x|^{m+alpha})at infinity in the upper half space of Rn, which generalizes the growth properties of analytic functions and harmonic functions.
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