Growth Estimates for a Class of Subharmonic Functions in a Half Space
Functional Analysis
2008-11-14 v1
Abstract
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.
Cite
@article{arxiv.0811.2091,
title = {Growth Estimates for a Class of Subharmonic Functions in a Half Space},
author = {Pan Guoshuang and Deng Guantie},
journal= {arXiv preprint arXiv:0811.2091},
year = {2008}
}
Comments
14 pages