Generalized Grand Lebesgue Spaces Associated to Banach Function spaces
In this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space $X$ by replacing the role of the $L^1$-norm by the norm $\|\cdot\|_X$ in the classical construction of the generalized grand Lebesgue spaces. Also, we study the inclusion property of these spaces.
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_712997_4df124aa82806dc2578d3c28b8038949.pdf |
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| author | Alireza Bagheri Salec Seyyed Mohammad Tabatabaie Alaa Mahdi Talib Albeka |
| author_facet | Alireza Bagheri Salec Seyyed Mohammad Tabatabaie Alaa Mahdi Talib Albeka |
| author_sort | Alireza Bagheri Salec |
| collection | DOAJ |
| description | In this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space $X$ by replacing the role of the $L^1$-norm by the norm $\|\cdot\|_X$ in the classical construction of the generalized grand Lebesgue spaces. Also, we study the inclusion property of these spaces. |
| format | Article |
| id | doaj-art-75a937895fae4e0b8ac78315d6a49124 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-75a937895fae4e0b8ac78315d6a491242025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121343144010.22130/scma.2024.2011147.1458712997Generalized Grand Lebesgue Spaces Associated to Banach Function spacesAlireza Bagheri Salec0Seyyed Mohammad Tabatabaie1Alaa Mahdi Talib Albeka2Department of Mathematics, Faculty of Basic Science, University of Qom, P.O.Box 3716146611, Qom, Iran.Department of Mathematics, Faculty of Basic Science, University of Qom, P.O.Box 3716146611, Qom, Iran.Department of Mathematics, Faculty of Basic Science, University of Qom, P.O.Box 3716146611, Qom, Iran.In this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space $X$ by replacing the role of the $L^1$-norm by the norm $\|\cdot\|_X$ in the classical construction of the generalized grand Lebesgue spaces. Also, we study the inclusion property of these spaces.https://scma.maragheh.ac.ir/article_712997_4df124aa82806dc2578d3c28b8038949.pdfgrand lebesgue spacesbanach function spacesinclusionyoung functionorlicz spaces |
| spellingShingle | Alireza Bagheri Salec Seyyed Mohammad Tabatabaie Alaa Mahdi Talib Albeka Generalized Grand Lebesgue Spaces Associated to Banach Function spaces Sahand Communications in Mathematical Analysis grand lebesgue spaces banach function spaces inclusion young function orlicz spaces |
| title | Generalized Grand Lebesgue Spaces Associated to Banach Function spaces |
| title_full | Generalized Grand Lebesgue Spaces Associated to Banach Function spaces |
| title_fullStr | Generalized Grand Lebesgue Spaces Associated to Banach Function spaces |
| title_full_unstemmed | Generalized Grand Lebesgue Spaces Associated to Banach Function spaces |
| title_short | Generalized Grand Lebesgue Spaces Associated to Banach Function spaces |
| title_sort | generalized grand lebesgue spaces associated to banach function spaces |
| topic | grand lebesgue spaces banach function spaces inclusion young function orlicz spaces |
| url | https://scma.maragheh.ac.ir/article_712997_4df124aa82806dc2578d3c28b8038949.pdf |
| work_keys_str_mv | AT alirezabagherisalec generalizedgrandlebesguespacesassociatedtobanachfunctionspaces AT seyyedmohammadtabatabaie generalizedgrandlebesguespacesassociatedtobanachfunctionspaces AT alaamahditalibalbeka generalizedgrandlebesguespacesassociatedtobanachfunctionspaces |