Growth Estimates for a Class of Subharmonic Functions in a Half Space
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2008
- DOI:
- arXiv:
- arXiv:0811.2091
- Bibcode:
- 2008arXiv0811.2091G
- Keywords:
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- Mathematics - Functional Analysis;
- 31B05;
- 31B10.
- E-Print:
- 14 pages