Nonsquareness in Musielak-Orlicz-Bochner Function Spaces
The criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the paper, the criteria for nonsquareness of Musi...
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Format: | Article |
Language: | English |
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Wiley
2011-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2011/361525 |
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author | Shaoqiang Shang Yunan Cui Yongqiang Fu |
author_facet | Shaoqiang Shang Yunan Cui Yongqiang Fu |
author_sort | Shaoqiang Shang |
collection | DOAJ |
description | The criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the paper, the criteria for nonsquareness of Musielak-Orlicz-Bochner function spaces are given. As a corollary, the criteria for nonsquareness of Musielak-Orlicz function spaces are given. |
format | Article |
id | doaj-art-4bf56a9e1a4f4e34aea644a5a596790d |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2011-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-4bf56a9e1a4f4e34aea644a5a596790d2025-02-03T01:02:00ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/361525361525Nonsquareness in Musielak-Orlicz-Bochner Function SpacesShaoqiang Shang0Yunan Cui1Yongqiang Fu2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThe criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the paper, the criteria for nonsquareness of Musielak-Orlicz-Bochner function spaces are given. As a corollary, the criteria for nonsquareness of Musielak-Orlicz function spaces are given.http://dx.doi.org/10.1155/2011/361525 |
spellingShingle | Shaoqiang Shang Yunan Cui Yongqiang Fu Nonsquareness in Musielak-Orlicz-Bochner Function Spaces Abstract and Applied Analysis |
title | Nonsquareness in Musielak-Orlicz-Bochner Function Spaces |
title_full | Nonsquareness in Musielak-Orlicz-Bochner Function Spaces |
title_fullStr | Nonsquareness in Musielak-Orlicz-Bochner Function Spaces |
title_full_unstemmed | Nonsquareness in Musielak-Orlicz-Bochner Function Spaces |
title_short | Nonsquareness in Musielak-Orlicz-Bochner Function Spaces |
title_sort | nonsquareness in musielak orlicz bochner function spaces |
url | http://dx.doi.org/10.1155/2011/361525 |
work_keys_str_mv | AT shaoqiangshang nonsquarenessinmusielakorliczbochnerfunctionspaces AT yunancui nonsquarenessinmusielakorliczbochnerfunctionspaces AT yongqiangfu nonsquarenessinmusielakorliczbochnerfunctionspaces |