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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Hindawi Limited
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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doaj-d91b2d37ef3d43f18d34cacf0ac12f0f2020-11-24T22:52:06ZengHindawi LimitedJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Claudia Capone Maria Rosaria Formica |
| spellingShingle |
Claudia Capone Maria Rosaria Formica A Decomposition of the Dual Space of Some Banach Function Spaces Journal of Function Spaces and Applications |
| author_facet |
Claudia Capone Maria Rosaria Formica |
| author_sort |
Claudia Capone |
| title |
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_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_sort |
decomposition of the dual space of some banach function spaces |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces and Applications |
| issn |
0972-6802 1758-4965 |
| publishDate |
2012-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2012/737534 |
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AT claudiacapone adecompositionofthedualspaceofsomebanachfunctionspaces AT mariarosariaformica adecompositionofthedualspaceofsomebanachfunctionspaces AT claudiacapone decompositionofthedualspaceofsomebanachfunctionspaces AT mariarosariaformica decompositionofthedualspaceofsomebanachfunctionspaces |
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