Continuous traces of \(\delta\)-subharmonic functions
type: Item
instance of: scholarly article
title: Continuous traces of \(\delta\)-subharmonic functions
zbMATH Open document ID: 1301.31002
author: K. A. Sukhov
published in: Journal of Mathematical Sciences (New York)
publication date: 2014-09-25T00:00:00Z
review text: A function on the complex plane is called \(\delta \)-subharmonic if it can be expressed as the difference of two subharmonic functions. The author shows that there exists a continuous function on \([-1,1]\) that cannot be extended to a \(\delta \)-subharmonic function with compact support. Reviewer's remark: A more general study of this type of problem may be found in work of \textit{H. Wallin} [Ark. Mat. 5, 55--84 (1963; Zbl 0134.09404)].
reviewed by: Stephen J. Gardiner
Mathematics Subject Classification ID: 31A05
zbMATH DE Number: 6347716
zbMATH Keywords: \(\delta \)-subharmonic function
MaRDI profile type: Publication
full work available at URL: s10958-013-1559-3
OpenAlex ID: W2466985814
cites work: Q3671464
DOI: 10.1007/S10958-013-1559-3
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description: scientific article; zbMATH DE number 6347716