Infima of superharmonic functions
type: Item
instance of: scholarly article
title: Infima of superharmonic functions
zbMATH Open document ID: 1262.31007
author: Mohammad Alakhrass
author: Wolfhard Hansen
published in: Arkiv för Matematik
publication date: 2012-12-06T00:00:00Z
review text: The paper provides a short proof for a complete characterization of the infima of superharmonic functions in terms of mean-value inequalities and a weak measurability property. The authors use previous results of \textit{B. J. Cole} and \textit{T. J. Ransford} [J. Funct. Anal. 147, No. 2, 420--442 (1997; Zbl 0873.31007)], which contain necessary and sufficient conditions for a function \(u\) to be the infimum of its superharmonic majorants.
reviewed by: Sophia L. Kalpazidou
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 32U05
Mathematics Subject Classification ID: 31C10
zbMATH DE Number: 6112906
zbMATH Keywords: infima of superharmonic function
zbMATH Keywords: mean-value inequalities
MaRDI profile type: Publication
full work available at URL: s11512-011-0159-z
OpenAlex ID: W2035180796
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DOI: 10.1007/S11512-011-0159-Z
description: scientific article; zbMATH DE number 6112906