Dual of Modulation Spaces with Variable Smoothness and Integrability

In this article, we first give a proof for the denseness of the Schwartz class in the modulation spaces with variable smoothness and integrability. Then, we study the dual spaces of such modulation spaces.

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Bibliographic Details
Main Author: Hua Zhu
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/4480849
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author Hua Zhu
author_facet Hua Zhu
author_sort Hua Zhu
collection DOAJ
description In this article, we first give a proof for the denseness of the Schwartz class in the modulation spaces with variable smoothness and integrability. Then, we study the dual spaces of such modulation spaces.
format Article
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institution Kabale University
issn 2314-8888
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-e2c4b052f01e4c3fa3f78cb62fcaa90a2025-02-03T01:07:37ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4480849Dual of Modulation Spaces with Variable Smoothness and IntegrabilityHua Zhu0Beijing International Studies UniversityIn this article, we first give a proof for the denseness of the Schwartz class in the modulation spaces with variable smoothness and integrability. Then, we study the dual spaces of such modulation spaces.http://dx.doi.org/10.1155/2022/4480849
spellingShingle Hua Zhu
Dual of Modulation Spaces with Variable Smoothness and Integrability
Journal of Function Spaces
title Dual of Modulation Spaces with Variable Smoothness and Integrability
title_full Dual of Modulation Spaces with Variable Smoothness and Integrability
title_fullStr Dual of Modulation Spaces with Variable Smoothness and Integrability
title_full_unstemmed Dual of Modulation Spaces with Variable Smoothness and Integrability
title_short Dual of Modulation Spaces with Variable Smoothness and Integrability
title_sort dual of modulation spaces with variable smoothness and integrability
url http://dx.doi.org/10.1155/2022/4480849
work_keys_str_mv AT huazhu dualofmodulationspaceswithvariablesmoothnessandintegrability