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VOL. 44 | 2006 Radial limits of harmonic functions
Stephen J. Gardiner

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

Abstract

A classical result of Alice Roth characterizes those functions on the unit circle that can arise from taking radial limits of entire functions. This paper describes recent progress on the characterization of radial limit functions of harmonic functions defined either in the unit ball or the whole of space. Some related open problems are posed.

Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

zbMATH: 1120.31002
MathSciNet: MR2277821

Digital Object Identifier: 10.2969/aspm/04410043

Subjects:
Primary: 31B05

Rights: Copyright © 2006 Mathematical Society of Japan

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