On q²-analogue Sobolev type spaces
This paper is devoted to define the q^2-Sobolev type spaces on R_q by using the q^2-analogue Fourier transform and its inverse. In particular, we provide the readers for some embedding results with these spaces.The next part is devoted to the study of the related q^2-potential analysis and some of i...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2015-12-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1151 |
| _version_ | 1818295618543550464 |
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| author | Ahmed Saoudi Ahmed Fitouhi |
| author_facet | Ahmed Saoudi Ahmed Fitouhi |
| author_sort | Ahmed Saoudi |
| collection | DOAJ |
| description | This paper is devoted to define the q^2-Sobolev type spaces on R_q by using the q^2-analogue Fourier transform and its inverse. In particular, we provide the readers for some embedding results with these spaces.The next part is devoted to the study of the related q^2-potential analysis and some of its properties. |
| first_indexed | 2024-12-13T03:50:31Z |
| format | Article |
| id | doaj.art-4ec15456a6914ae6848b666c1a5032b9 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-13T03:50:31Z |
| publishDate | 2015-12-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-4ec15456a6914ae6848b666c1a5032b92022-12-22T00:00:43ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982015-12-017026377948On q²-analogue Sobolev type spacesAhmed Saoudi0Ahmed FitouhiUniversity of Tunis El Manar Faculty of Science TunisiaThis paper is devoted to define the q^2-Sobolev type spaces on R_q by using the q^2-analogue Fourier transform and its inverse. In particular, we provide the readers for some embedding results with these spaces.The next part is devoted to the study of the related q^2-potential analysis and some of its properties.http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1151Rubin’s operatorq2 -analogue Fourier analysisq2 -analogue Soblev spacesq2- analogue potential spaces |
| spellingShingle | Ahmed Saoudi Ahmed Fitouhi On q²-analogue Sobolev type spaces Le Matematiche Rubin’s operator q2 -analogue Fourier analysis q2 -analogue Soblev spaces q2- analogue potential spaces |
| title | On q²-analogue Sobolev type spaces |
| title_full | On q²-analogue Sobolev type spaces |
| title_fullStr | On q²-analogue Sobolev type spaces |
| title_full_unstemmed | On q²-analogue Sobolev type spaces |
| title_short | On q²-analogue Sobolev type spaces |
| title_sort | on q² analogue sobolev type spaces |
| topic | Rubin’s operator q2 -analogue Fourier analysis q2 -analogue Soblev spaces q2- analogue potential spaces |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1151 |
| work_keys_str_mv | AT ahmedsaoudi onq2analoguesobolevtypespaces AT ahmedfitouhi onq2analoguesobolevtypespaces |