The S-Transform on Hardy Spaces and Its Duals

The S-Transform on Hardy Spaces and Its Duals

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In this paper, continuity and boundedness results for the continuous S-transform in BMO and Hardy spaces are obtained. Furthermore, the continuous S-transform is also studied on the weighted BMO$_k$ and weighted Hardy spaces associated with a tempered weight function which was proposed by L. H\&...

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Main Authors: Sunil Kumar Singh, Baby Kalita
Format: Article
Language:English
Published: Etamaths Publishing 2015-03-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/469
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spelling doaj-81289f5cf8114e738f84761be1fc71562021-08-26T13:44:36ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392015-03-0172171178120The S-Transform on Hardy Spaces and Its DualsSunil Kumar Singh0Baby Kalita1Rajiv Gandhi University, Arunachal Pradesh, INDIARajiv Gandhi University, Arunachal Pradesh, INDIAIn this paper, continuity and boundedness results for the continuous S-transform in BMO and Hardy spaces are obtained. Furthermore, the continuous S-transform is also studied on the weighted BMO$_k$ and weighted Hardy spaces associated with a tempered weight function which was proposed by L. H\"ormander in the study of the theory of partial differential equations.http://etamaths.com/index.php/ijaa/article/view/469
collection DOAJ
language English
format Article
sources DOAJ
author Sunil Kumar Singh
Baby Kalita
spellingShingle Sunil Kumar Singh
Baby Kalita
The S-Transform on Hardy Spaces and Its Duals
International Journal of Analysis and Applications
author_facet Sunil Kumar Singh
Baby Kalita
author_sort Sunil Kumar Singh
title The S-Transform on Hardy Spaces and Its Duals
title_short The S-Transform on Hardy Spaces and Its Duals
title_full The S-Transform on Hardy Spaces and Its Duals
title_fullStr The S-Transform on Hardy Spaces and Its Duals
title_full_unstemmed The S-Transform on Hardy Spaces and Its Duals
title_sort s-transform on hardy spaces and its duals
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2015-03-01
description In this paper, continuity and boundedness results for the continuous S-transform in BMO and Hardy spaces are obtained. Furthermore, the continuous S-transform is also studied on the weighted BMO$_k$ and weighted Hardy spaces associated with a tempered weight function which was proposed by L. H\"ormander in the study of the theory of partial differential equations.
url http://etamaths.com/index.php/ijaa/article/view/469
work_keys_str_mv AT sunilkumarsingh thestransformonhardyspacesanditsduals
AT babykalita thestransformonhardyspacesanditsduals
AT sunilkumarsingh stransformonhardyspacesanditsduals
AT babykalita stransformonhardyspacesanditsduals
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