Phragmén-Lindelöf theorems of subharmonic functions and their applications in the Half space

Abstract

Twistor quantization of the space of half-differentiable vector functions on the circle revisited Science in China Series A-Mathematics 52, 2714 (2009); Approximation of monogenic functions by higher order Szegökernels on the unit ball and half space

The Phragemén‐Lindelöf principle of harmonic functions and conditions for nevanlinna class in the half space

“…The example u ( x ) = x n shows that some hypothesis is valid if u ( x ) is bounded in the half space. For an exposition of this kind of results for subharmonic functions in the half space we refer to Zhang; an explicit expression of weighted mean m ( r ) for subharmonic functions is also presented.…”