Molecular Characterization of Hardy Spaces Associated with Twisted Convolution

Molecular Characterization of Hardy Spaces Associated with Twisted Convolution

We give a molecular characterization of the Hardy space associated with twisted convolution. As an application, we prove the boundedness of the local Riesz transform on the Hardy space.

Bibliographic Details
Main Authors: Jizheng Huang, Yu Liu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/326940
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spelling doaj-7a707b50c92f44af83c23a82507b4d522020-11-24T20:53:39ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/326940326940Molecular Characterization of Hardy Spaces Associated with Twisted ConvolutionJizheng Huang0Yu Liu1College of Sciences, North China University of Technology, Beijing 100144, ChinaSchool of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, ChinaWe give a molecular characterization of the Hardy space associated with twisted convolution. As an application, we prove the boundedness of the local Riesz transform on the Hardy space.http://dx.doi.org/10.1155/2014/326940
collection DOAJ
language English
format Article
sources DOAJ
author Jizheng Huang
Yu Liu
spellingShingle Jizheng Huang
Yu Liu
Molecular Characterization of Hardy Spaces Associated with Twisted Convolution
Journal of Function Spaces
author_facet Jizheng Huang
Yu Liu
author_sort Jizheng Huang
title Molecular Characterization of Hardy Spaces Associated with Twisted Convolution
title_short Molecular Characterization of Hardy Spaces Associated with Twisted Convolution
title_full Molecular Characterization of Hardy Spaces Associated with Twisted Convolution
title_fullStr Molecular Characterization of Hardy Spaces Associated with Twisted Convolution
title_full_unstemmed Molecular Characterization of Hardy Spaces Associated with Twisted Convolution
title_sort molecular characterization of hardy spaces associated with twisted convolution
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2014-01-01
description We give a molecular characterization of the Hardy space associated with twisted convolution. As an application, we prove the boundedness of the local Riesz transform on the Hardy space.
url http://dx.doi.org/10.1155/2014/326940
work_keys_str_mv AT jizhenghuang molecularcharacterizationofhardyspacesassociatedwithtwistedconvolution
AT yuliu molecularcharacterizationofhardyspacesassociatedwithtwistedconvolution
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