New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, characterizations of these new spaces by maximal functions are given.

Bibliographic Details
Main Authors: Baohua Dong, Jingshi Xu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/384593
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spelling doaj-7635efe2c8224dacb678907f4dfb33ee2020-11-24T23:49:31ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/384593384593New Herz Type Besov and Triebel-Lizorkin Spaces with Variable ExponentsBaohua Dong0Jingshi Xu1Department of Mathematics, Hainan Normal University, Haikou 571158, ChinaDepartment of Mathematics, Hainan Normal University, Haikou 571158, ChinaThe authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, characterizations of these new spaces by maximal functions are given.http://dx.doi.org/10.1155/2012/384593
collection DOAJ
language English
format Article
sources DOAJ
author Baohua Dong
Jingshi Xu
spellingShingle Baohua Dong
Jingshi Xu
New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
Journal of Function Spaces and Applications
author_facet Baohua Dong
Jingshi Xu
author_sort Baohua Dong
title New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
title_short New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
title_full New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
title_fullStr New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
title_full_unstemmed New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
title_sort new herz type besov and triebel-lizorkin spaces with variable exponents
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2012-01-01
description The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, characterizations of these new spaces by maximal functions are given.
url http://dx.doi.org/10.1155/2012/384593
work_keys_str_mv AT baohuadong newherztypebesovandtriebellizorkinspaceswithvariableexponents
AT jingshixu newherztypebesovandtriebellizorkinspaceswithvariableexponents
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