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

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

2008-11-13

arxiv.org/abs/0811.2131v1

Mathematics

Functional Analysis

12 pages

Scientific paper

A class of subharmonic functions represented by the modified kernels are
proved to have the growth estimates $u(z)= o(y^{1-\alpha}|z|^{m+\alpha})$ at
infinity in the upper half plane ${\bf C}_{+}$, which generalizes the growth
properties of analytic functions and harmonic functions.

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