Pointwise convergence and radial limits of harmonic functions
type: Item
instance of: scholarly article
title: Pointwise convergence and radial limits of harmonic functions
zbMATH Open document ID: 1082.31001
DOI: 10.1007/BF02786692
author: Stephen J. Gardiner
author: Anders Gustafsson
published in: Israel Journal of Mathematics
publication date: 2005-05-03T00:00:00Z
review text: Following the work of \textit{J. Lukeš}, \textit{J. Malý}, \textit{I. Netuka}, \textit{M. Smrcka} and \textit{J. Spurný} [Isr. J. Math. 134, 255--287 (2003; Zbl 1031.35011)], the authors characterize the real-valued functions on a compact set \(K\) in \(\mathbb{R}^n\) that can be expressed as the pointwise limit of a sequence of functions each of which are harmonic on some neighborhood of \(K\). They also characterize the functions on the unit sphere which are the radial limits of entire harmonic functions.
reviewed by: Yusuf Avci
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 31B20
zbMATH DE Number: 2164542
zbMATH Keywords: probability measure
zbMATH Keywords: Baire-one function
zbMATH Keywords: Baire category
zbMATH Keywords: coarsest topology
zbMATH Keywords: fine harmonicity
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02786692
OpenAlex ID: W2056796047
description: scientific article; zbMATH DE number 2164542