Heat extensions, optimal atomic decompositions and Sobolev embeddings in presence of symmetries on manifolds
type: Item
instance of: scholarly article
title: Heat extensions, optimal atomic decompositions and Sobolev embeddings in presence of symmetries on manifolds
zbMATH Open document ID: 1031.58023
author: Leszek Skrzypczak
published in: Mathematische Zeitschrift
publication date: 2003-07-01T00:00:00Z
review text: The author firstly constructs what is sometimes referred to as an atomic decomposition with optimal coefficient of the function spaces of Besov and Triebel-Lizorkin. Then the heat semi-group characterization of the spaces on Riemannian manifolds of bounded geometry is given. Furthermore, properties of the Sobolev embeddings of the Besov and Triebel-Lizokin spaces which admit compact group of isometries of the Riemannian manifold are investigated.
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 1944225
zbMATH Keywords: heat extensions
zbMATH Keywords: optimal atomic decompositions
zbMATH Keywords: Sobolev embeddings
MaRDI profile type: Publication
full work available at URL: s00209-002-0465-z
OpenAlex ID: W2010810008
DOI: 10.1007/S00209-002-0465-Z
description: scientific article; zbMATH DE number 1944225