On small Lebesgue spaces
We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss the comparison with the Orlicz spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2005/192538 |
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| _version_ | 1832545444633247744 |
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| author | Claudia Capone Alberto Fiorenza |
| author_facet | Claudia Capone Alberto Fiorenza |
| author_sort | Claudia Capone |
| collection | DOAJ |
| description | We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss the comparison with the Orlicz spaces. |
| format | Article |
| id | doaj-art-727501c4971f484b841d745da7e95095 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-727501c4971f484b841d745da7e950952025-02-03T07:25:53ZengWileyJournal of Function Spaces and Applications0972-68022005-01-0131738910.1155/2005/192538On small Lebesgue spacesClaudia Capone0Alberto Fiorenza1C.N.R. Istitute per le Applicazioni del Calcolo “Mauro Picone”, sezione di Napoli, via P.Castellino 111, 80131 Napoli, ItalyC.N.R. Istitute per le Applicazioni del Calcolo “Mauro Picone”, sezione di Napoli, via P.Castellino 111, 80131 Napoli, ItalyWe consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss the comparison with the Orlicz spaces.http://dx.doi.org/10.1155/2005/192538 |
| spellingShingle | Claudia Capone Alberto Fiorenza On small Lebesgue spaces Journal of Function Spaces and Applications |
| title | On small Lebesgue spaces |
| title_full | On small Lebesgue spaces |
| title_fullStr | On small Lebesgue spaces |
| title_full_unstemmed | On small Lebesgue spaces |
| title_short | On small Lebesgue spaces |
| title_sort | on small lebesgue spaces |
| url | http://dx.doi.org/10.1155/2005/192538 |
| work_keys_str_mv | AT claudiacapone onsmalllebesguespaces AT albertofiorenza onsmalllebesguespaces |