Phragmén-Lindelöf theorems of subharmonic functions and their applications in the Half space
Phragmén-Lindelöf theorems of subharmonic functions and their applications in the Half space
In this paper, the Phragmen-Lindelof theorems of subharmonic functions in the half space are proved, by use of the Carleman's formula of harmonic functions and the methods of Levi. An explicit expression of weighted mean m(r) for subharmonic functions is also presented. As an application, functions of class C are …