Title: The Phragemén‐Lindelöf principle of harmonic functions and conditions for nevanlinna class in the half space.
Authors: Zhang, Yan Hui
Abstract: In this article, we firstly discuss a kind of Phragemén‐Lindelöf Principle of harmonic functions by using the Nevanlinna's representation in the high dimensional space. Secondly, we derive the sufficient conditions for subharmonic functions being in the Nevanlinna class as well. These results are main tools to study the Hilbert space of harmonic functions with analytic approaches and generalizations of some classic results.
Subjects: SUBHARMONIC functions; ANALYTIC functions; HILBERT space; FUNCTION spaces; HARMONIC functions; SPACE
Publication: Mathematical Methods in the Applied Sciences, 2019, Vol 42, Issue 12, p4360
ISSN: 0170-4214
Publication type: Academic Journal
DOI: 10.1002/mma.5655

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

Zhang, Yan Hui