Hardy-Sobolev Spaces Associated with Twisted Convolution

We first define the Hardy-Sobolev spaces associated with twisted convolution; then we give the atomic decomposition. As an application, we consider the endpoint version of the div-curl theorem for the twisted convolution.

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Main Authors: Jizheng Huang, Weiwei Li, Yaqiong Wang
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/5692746
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author Jizheng Huang
Weiwei Li
Yaqiong Wang
author_facet Jizheng Huang
Weiwei Li
Yaqiong Wang
author_sort Jizheng Huang
collection DOAJ
description We first define the Hardy-Sobolev spaces associated with twisted convolution; then we give the atomic decomposition. As an application, we consider the endpoint version of the div-curl theorem for the twisted convolution.
format Article
id doaj-art-c526c4a7d28a439e8c3591af5783bca8
institution DOAJ
issn 2314-8896
2314-8888
language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-c526c4a7d28a439e8c3591af5783bca82025-08-20T03:22:42ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/56927465692746Hardy-Sobolev Spaces Associated with Twisted ConvolutionJizheng Huang0Weiwei Li1Yaqiong Wang2College of Sciences, North China University of Technology, Beijing 100144, ChinaCollege of Sciences, North China University of Technology, Beijing 100144, ChinaCollege of Sciences, North China University of Technology, Beijing 100144, ChinaWe first define the Hardy-Sobolev spaces associated with twisted convolution; then we give the atomic decomposition. As an application, we consider the endpoint version of the div-curl theorem for the twisted convolution.http://dx.doi.org/10.1155/2017/5692746
spellingShingle Jizheng Huang
Weiwei Li
Yaqiong Wang
Hardy-Sobolev Spaces Associated with Twisted Convolution
Journal of Function Spaces
title Hardy-Sobolev Spaces Associated with Twisted Convolution
title_full Hardy-Sobolev Spaces Associated with Twisted Convolution
title_fullStr Hardy-Sobolev Spaces Associated with Twisted Convolution
title_full_unstemmed Hardy-Sobolev Spaces Associated with Twisted Convolution
title_short Hardy-Sobolev Spaces Associated with Twisted Convolution
title_sort hardy sobolev spaces associated with twisted convolution
url http://dx.doi.org/10.1155/2017/5692746
work_keys_str_mv AT jizhenghuang hardysobolevspacesassociatedwithtwistedconvolution
AT weiweili hardysobolevspacesassociatedwithtwistedconvolution
AT yaqiongwang hardysobolevspacesassociatedwithtwistedconvolution