A Decomposition of the Dual Space of Some Banach Function Spaces

We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.

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Bibliographic Details
Main Authors: Claudia Capone, Maria Rosaria Formica
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/737534
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author Claudia Capone
Maria Rosaria Formica
author_facet Claudia Capone
Maria Rosaria Formica
author_sort Claudia Capone
collection DOAJ
description We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.
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institution Kabale University
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series Journal of Function Spaces and Applications
spelling doaj-art-d91b2d37ef3d43f18d34cacf0ac12f0f2025-02-03T06:08:15ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/737534737534A Decomposition of the Dual Space of Some Banach Function SpacesClaudia Capone0Maria Rosaria Formica1Istituto per le Applicazioni del Calcolo “Mauro Picone”, CNR, sez. Napoli, Via P. Castellino 111, 80131 Napoli, ItalyDipartimento di Statistica e Matematica per la Ricerca Economica, Università degli Studi di Napoli “Parthenope”, Via Medina 40, 80133 Napoli, ItalyWe give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.http://dx.doi.org/10.1155/2012/737534
spellingShingle Claudia Capone
Maria Rosaria Formica
A Decomposition of the Dual Space of Some Banach Function Spaces
Journal of Function Spaces and Applications
title A Decomposition of the Dual Space of Some Banach Function Spaces
title_full A Decomposition of the Dual Space of Some Banach Function Spaces
title_fullStr A Decomposition of the Dual Space of Some Banach Function Spaces
title_full_unstemmed A Decomposition of the Dual Space of Some Banach Function Spaces
title_short A Decomposition of the Dual Space of Some Banach Function Spaces
title_sort decomposition of the dual space of some banach function spaces
url http://dx.doi.org/10.1155/2012/737534
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