Asymptotic maximum principles for subharmonic functions
type: Item
instance of: scholarly article
title: Asymptotic maximum principles for subharmonic functions
zbMATH Open document ID: 1172.31004
DOI: 10.1007/BF03321680
author: Stephen J. Gardiner
published in: Computational Methods and Function Theory
publication date: 2008-07-29T00:00:00Z
review text: The short note under review deals with the maximum principle for subharmonic functions. The maximum principle in the Euclidean setting proven in [\textit{B. Fuglede}, Math. Ann. 213, 261--274 (1975; Zbl 0283.31001)] and the maximum principle in the Martin boundary setting proven in [\textit{L. Naïm}, Ann. Inst. Fourier 7, 183--281 (1957; Zbl 0086.30603)] are generalized. The concepts of asymptotic values and of asymptotic tracts are used in the formulation of the new maximum principles. The paper is well written.
reviewed by: Tobias Kaiser
Mathematics Subject Classification ID: 31B25
Mathematics Subject Classification ID: 31C35
Mathematics Subject Classification ID: 31C40
zbMATH DE Number: 5305530
zbMATH Keywords: subharmonic function
zbMATH Keywords: maximum principle
zbMATH Keywords: asymptotic value
zbMATH Keywords: Martin boundary
zbMATH Keywords: minimal fine limit
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03321680
OpenAlex ID: W1985097163
description: scientific article; zbMATH DE number 5305530