Cluster sets of subharmonic functions and associated measures in a cone
type: Item
instance of: scholarly article
title: Cluster sets of subharmonic functions and associated measures in a cone
zbMATH Open document ID: 0734.31003
DOI: 10.1007/BF01060511
author: L. I. Ronkin
author: Alexander Rashkovskii
published in: Ukrainian Mathematical Journal
publication date: 1991-01-01T00:00:00Z
review text: The studies made in the paper and the obtained results are based on some results and notions introduced by V. S. Azarin in 1976 and 1979 in two papers, quoted in the bibliography, concerning subharmonic functions of finite order in \({\mathbb{R}}^ n\). In the present paper, continuing their own studies and results, published in some papers in the period 1987- 1990, the authors extend the corresponding results to the subharmonic functions in a cone of \({\mathbb{R}}^ n\). Many results are obtained that are too difficult to enumerate in a review, some of them similar to those in the case of the functions defined in \({\mathbb{R}}^ n\), others to the functions defined in a cone. All of them could be grouped in three groups, corresponding to the three chapters of the paper: fundamental notions, connection between classes of functions and measures, connection between boundary cluster of functions and measures.
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 31B25
zbMATH DE Number: 4214346
zbMATH Keywords: subharmonic functions in a cone
zbMATH Keywords: boundary cluster
MaRDI profile type: Publication
cites work: Q4122153
cites work: Q4207001
cites work: Growth and decrease of subharmonic functions in a cone
cites work: Q3848344
cites work: Q5535781
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full work available at URL: https://doi.org/10.1007/bf01060511
OpenAlex ID: W2047159916
description: scientific article; zbMATH DE number 4214346