Heat and harmonic extensions for function spaces of Hardy-Sobolev-Besov type on symmetric spaces and Lie groups
type: Item
instance of: scholarly article
title: Heat and harmonic extensions for function spaces of Hardy-Sobolev-Besov type on symmetric spaces and Lie groups
zbMATH Open document ID: 0918.43007
published in: Journal of Approximation Theory
publication date: 1999-08-17T00:00:00Z
review text: Spaces of Hardy-Sobolev-Besov type \(B^s_{pq}\) and \(F^s_{pq}\) on (special) Riemannian manifolds and Lie groups are usually introduced via local charts. It is the aim of this paper to characterize these spaces intrinsically via heat and Poisson semigroups. Atomic decompositions of these spaces are the main tool.
reviewed by: Hans Triebel
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 22E30
zbMATH DE Number: 1251377
zbMATH Keywords: spaces of Hardy-Sobolev-Besov type
zbMATH Keywords: Riemannian manifolds
zbMATH Keywords: Lie groups
zbMATH Keywords: heat and Poisson semigroups
author: Leszek Skrzypczak
MaRDI profile type: Publication
full work available at URL: jath.1998.3223
OpenAlex ID: W2045775616
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Wikidata QID: Q115395643
DOI: 10.1006/JATH.1998.3223
description: scientific article; zbMATH DE number 1251377