The atomic decomposition of harmonic functions satisfying certain conditions of integrability
type: Item
instance of: scholarly article
title: The atomic decomposition of harmonic functions satisfying certain conditions of integrability
zbMATH Open document ID: 0899.31003
DOI: 10.1155/S0161171295000809
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1995-12-05T00:00:00Z
full work available at URL: https://eudml.org/doc/48004
full work available at URL: issue-4.html
review text: Summary: Distributions on Euclidean spaces with derivatives of their Poisson integral satisfying certain natural conditions of integrability are represented as sums of weighted atoms. The atomic decomposition is obtained by means of the Calderón reproducing formula.
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 46E99
Mathematics Subject Classification ID: 31B10
zbMATH DE Number: 823340
zbMATH Keywords: atomic decomposition
zbMATH Keywords: Calderón reproducing formula
zbMATH Keywords: harmonic functions
zbMATH Keywords: admissible weights
Wikidata QID: Q110598188
author: Krzysztof Bogdan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 823340