Harmonic Bergman functions on the unit ball in \(\mathbb R^n\)
type: Item
instance of: scholarly article
title: Harmonic Bergman functions on the unit ball in \(\mathbb R^n\)
zbMATH Open document ID: 0956.32004
DOI: 10.1023/A:1006620929091
published in: Acta Mathematica Hungarica
publication date: 2000-11-13T00:00:00Z
review text: The authors study harmonic Bergman functions on the unit ball \(B\) in \(\mathbb R^n\) and show that for the Bergman kernel \(K_\alpha(x,y)\) of the orthogonal projection of \(L^{2,\alpha-1}\) onto the harmonic Bergman space \(\ell^{2,\alpha-1}\) one has the estimation \[ |K_\alpha(x,y)|= O(|x-y|^{-n+1-\alpha}) \] for \(x\in B\) and \( y\in \partial B\). Also, they calculate the duals of \({\ell}^{p,\alpha-1}\) for all \(p>0\) and \(\alpha>0\).
reviewed by: Viorel Vâjâitu
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 58E20
zbMATH DE Number: 1528591
zbMATH Keywords: harmonic Bergman functions
zbMATH Keywords: Bergman kernel
zbMATH Keywords: harmonic Blach space
author: Miroljub Jevtić
author: Miroslav Pavlović
MaRDI profile type: Publication
full work available at URL: a:1006620929091
OpenAlex ID: W2095082278
description: scientific article; zbMATH DE number 1528591