Growth Estimates for a Class of Subharmonic Functions in a Half Space

Details Growth Estimates for a Class of Subharmonic Functions in a Half Space Growth Estimates for a Class of Subharmonic Functions in a Half Space

2008-11-13

arxiv.org/abs/0811.2091v1

Mathematics

Functional Analysis

14 pages

Scientific paper

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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