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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Main Authors: Shaoqiang Shang, Yunan Cui, Yongqiang Fu
Format: Article
Language:English
Published: Wiley 2011-01-01
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.
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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