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

2008/11/13 by Pan Guoshuang, Guoshuang, Pan, Deng Guantie +1
Mathematics · #31B05 #31B10. #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #math.CV #math.FA #msc:31B05 #msc:31B10.

paper · pdf · doi:10.48550/arxiv.0811.2131

12 pages

arxiv created 2008/11/13 · arxiv updated 2009/12/01

Abstract

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

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