The boundedness of commutators on locally compact Vilenkin groups

Let G be a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of commutators of singluar integral operator on Triebel-Lizorkin spaces on G. Furthermore, the boundedness on the Herz-type Triebel-Lizorkin spaces are also studied.

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Main Authors: Canqin Tang, Qingguo Li, Bolin Ma
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2005/265158
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author Canqin Tang
Qingguo Li
Bolin Ma
author_facet Canqin Tang
Qingguo Li
Bolin Ma
author_sort Canqin Tang
collection DOAJ
description Let G be a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of commutators of singluar integral operator on Triebel-Lizorkin spaces on G. Furthermore, the boundedness on the Herz-type Triebel-Lizorkin spaces are also studied.
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series Journal of Function Spaces and Applications
spelling doaj-art-e45261a9763e4a96a76aa39e783a128e2025-08-20T02:21:34ZengWileyJournal of Function Spaces and Applications0972-68022005-01-013220922210.1155/2005/265158The boundedness of commutators on locally compact Vilenkin groupsCanqin Tang0Qingguo Li1Bolin Ma2Department of Mathematics, Hunan University, Changsha, Hunan, ChinaDepartment of Mathematics, Hunan University, Changsha, Hunan, ChinaDepartment of Mathematics, Hunan University, Changsha, Hunan, ChinaLet G be a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of commutators of singluar integral operator on Triebel-Lizorkin spaces on G. Furthermore, the boundedness on the Herz-type Triebel-Lizorkin spaces are also studied.http://dx.doi.org/10.1155/2005/265158
spellingShingle Canqin Tang
Qingguo Li
Bolin Ma
The boundedness of commutators on locally compact Vilenkin groups
Journal of Function Spaces and Applications
title The boundedness of commutators on locally compact Vilenkin groups
title_full The boundedness of commutators on locally compact Vilenkin groups
title_fullStr The boundedness of commutators on locally compact Vilenkin groups
title_full_unstemmed The boundedness of commutators on locally compact Vilenkin groups
title_short The boundedness of commutators on locally compact Vilenkin groups
title_sort boundedness of commutators on locally compact vilenkin groups
url http://dx.doi.org/10.1155/2005/265158
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