Homogeneity Property of Besov and Triebel-Lizorkin Spaces

Homogeneity Property of Besov and Triebel-Lizorkin Spaces

We consider the classical Besov and Triebel-Lizorkin spaces defined via differences and prove a homogeneity property for functions with bounded support in the frame of these spaces. As the proof is based on compact embeddings between the studied function spaces, we present also some results on the e...

Full description

Bibliographic Details
Main Authors: Cornelia Schneider, Jan Vybíral
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/281085
id doaj-14228746f81e4c2b871e961feaf7f328
record_format Article
spelling doaj-14228746f81e4c2b871e961feaf7f3282020-11-24T22:06:32ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/281085281085Homogeneity Property of Besov and Triebel-Lizorkin SpacesCornelia Schneider0Jan Vybíral1Applied Mathematics III, University Erlangen-Nuremberg, Cauerstraße 11, 91058 Erlangen, GermanyJohann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstraße 69, 4040 Linz, AustriaWe consider the classical Besov and Triebel-Lizorkin spaces defined via differences and prove a homogeneity property for functions with bounded support in the frame of these spaces. As the proof is based on compact embeddings between the studied function spaces, we present also some results on the entropy numbers of these embeddings. Moreover, we derive some applications in terms of pointwise multipliers.http://dx.doi.org/10.1155/2012/281085
collection DOAJ
language English
format Article
sources DOAJ
author Cornelia Schneider
Jan Vybíral
spellingShingle Cornelia Schneider
Jan Vybíral
Homogeneity Property of Besov and Triebel-Lizorkin Spaces
Journal of Function Spaces and Applications
author_facet Cornelia Schneider
Jan Vybíral
author_sort Cornelia Schneider
title Homogeneity Property of Besov and Triebel-Lizorkin Spaces
title_short Homogeneity Property of Besov and Triebel-Lizorkin Spaces
title_full Homogeneity Property of Besov and Triebel-Lizorkin Spaces
title_fullStr Homogeneity Property of Besov and Triebel-Lizorkin Spaces
title_full_unstemmed Homogeneity Property of Besov and Triebel-Lizorkin Spaces
title_sort homogeneity property of besov and triebel-lizorkin spaces
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2012-01-01
description We consider the classical Besov and Triebel-Lizorkin spaces defined via differences and prove a homogeneity property for functions with bounded support in the frame of these spaces. As the proof is based on compact embeddings between the studied function spaces, we present also some results on the entropy numbers of these embeddings. Moreover, we derive some applications in terms of pointwise multipliers.
url http://dx.doi.org/10.1155/2012/281085
work_keys_str_mv AT corneliaschneider homogeneitypropertyofbesovandtriebellizorkinspaces
AT janvybiral homogeneitypropertyofbesovandtriebellizorkinspaces
_version_ 1725823216845324288

Similar Items