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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-d91b2d37ef3d43f18d34cacf0ac12f0f |
institution | Kabale University |
issn | 0972-6802 1758-4965 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
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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