The Multiplier Algebra of Orlicz Spaces
In this paper we prove that if ? is a modulus function and if X = [0,1] is given the Lebesgue measure, then M(L?) = L?, if and only if lim x – 0 ?(x2)/ ?(x) < ?; L? being the Orlicz space L? (X); and M(L?) its multiplier algebra.
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| Format: | Article |
| Language: | English |
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An-Najah National University
1998-07-01
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| Series: | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| Online Access: | https://journals.najah.edu/media/journals/full_texts/multiplier-algebra-orlicz-spaces.pdf |
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| _version_ | 1849240094900224000 |
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| author | Abdallah Hakawati |
| author_facet | Abdallah Hakawati |
| author_sort | Abdallah Hakawati |
| collection | DOAJ |
| description | In this paper we prove that if ? is a modulus function and if X = [0,1] is given the Lebesgue measure, then M(L?) = L?, if and only if lim x – 0 ?(x2)/ ?(x) < ?; L? being the Orlicz space L? (X); and M(L?) its multiplier algebra. |
| format | Article |
| id | doaj-art-9eb8e60f2ba04fb58f49f440de545f25 |
| institution | Kabale University |
| issn | 1727-2114 2311-8865 |
| language | English |
| publishDate | 1998-07-01 |
| publisher | An-Najah National University |
| record_format | Article |
| series | مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| spelling | doaj-art-9eb8e60f2ba04fb58f49f440de545f252025-08-20T04:00:44ZengAn-Najah National Universityمجلة جامعة النجاح للأبحاث العلوم الطبيعية1727-21142311-88651998-07-011211610.35552/anujr.a.12.1.391The Multiplier Algebra of Orlicz SpacesAbdallah Hakawati0NoneIn this paper we prove that if ? is a modulus function and if X = [0,1] is given the Lebesgue measure, then M(L?) = L?, if and only if lim x – 0 ?(x2)/ ?(x) < ?; L? being the Orlicz space L? (X); and M(L?) its multiplier algebra.https://journals.najah.edu/media/journals/full_texts/multiplier-algebra-orlicz-spaces.pdf |
| spellingShingle | Abdallah Hakawati The Multiplier Algebra of Orlicz Spaces مجلة جامعة النجاح للأبحاث العلوم الطبيعية |
| title | The Multiplier Algebra of Orlicz Spaces |
| title_full | The Multiplier Algebra of Orlicz Spaces |
| title_fullStr | The Multiplier Algebra of Orlicz Spaces |
| title_full_unstemmed | The Multiplier Algebra of Orlicz Spaces |
| title_short | The Multiplier Algebra of Orlicz Spaces |
| title_sort | multiplier algebra of orlicz spaces |
| url | https://journals.najah.edu/media/journals/full_texts/multiplier-algebra-orlicz-spaces.pdf |
| work_keys_str_mv | AT abdallahhakawati themultiplieralgebraoforliczspaces AT abdallahhakawati multiplieralgebraoforliczspaces |