On the growth of subharmonic functions in space
type: Item
instance of: scholarly article
title: On the growth of subharmonic functions in space
zbMATH Open document ID: 0752.31002
DOI: 10.1016/0022-247X(92)90043-D
author: Faruk F. Abi-Khuzam
published in: Journal of Mathematical Analysis and Applications
publication date: 1992-09-27T00:00:00Z
review text: Let \(D_ m\) be the set of functions \(u=u_ 1-u_ 2\) such that \(u(0)=0\) and the Nevanlinna characteristic \(T(r)\) of \(u\) converges to infinity as \(r\to\infty\), where \(u_ 1\) and \(u_ 2\) are subharmonic functions in \(\mathbb{R}^ m\). The author extends the Tauberian Theorem 1 of \textit{A. Edrei} and \textit{W. H. J. Fuchs} [Comment. Math. Helv. 33, 258-295 (1959; Zbl 0090.288)], which was proved for meromorphic functions, to functions \(u\) in \(D_ m\).
reviewed by: Yusuf Avci
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 40E05
zbMATH DE Number: 60450
zbMATH Keywords: lower order
zbMATH Keywords: deficiency
zbMATH Keywords: Nevanlinna characteristic
zbMATH Keywords: subharmonic functions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 60450