Generalized Bôcher's theorem
type: Item
instance of: scholarly article
title: Generalized Bôcher's theorem
zbMATH Open document ID: 0818.31004
author: Soon-Yeong Chung
author: Dohan Kim
author: Jung Rye Lee
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-08-27T00:00:00Z
review text: The authors present a Laurent-type expansion for harmonic functions in the punctured unit ball of \(\mathbb{R}^ n\) \((n\geq 2)\), together with bounds on the coefficients in the singular part of the expansion. The Laurent expansion for harmonic functions in annuli is well known: see, for example, Chapter 10 of the book by \textit{S. Axler}, \textit{P. Bourdon} and \textit{W. Ramey} [Harmonic function theory (Springer, New York) (1992; Zbl 0765.31001)].
Mathematics Subject Classification ID: 31B05
zbMATH DE Number: 710325
zbMATH Keywords: harmonic function
zbMATH Keywords: isolated singularity
reviewed by: Stephen J. Gardiner
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1430
OpenAlex ID: W2080507049
DOI: 10.1006/JMAA.1994.1430
description: scientific article; zbMATH DE number 710325