Optimal Regularity Properties of the Generalized Sobolev Spaces
We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/761648 |
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| _version_ | 1841524888845680640 |
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| author | G. E. Karadzhov Qaisar Mehmood |
| author_facet | G. E. Karadzhov Qaisar Mehmood |
| author_sort | G. E. Karadzhov |
| collection | DOAJ |
| description | We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space . |
| format | Article |
| id | doaj-art-b7e540cdc3de41fc996c8580f769d5b6 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-b7e540cdc3de41fc996c8580f769d5b62025-02-03T05:47:14ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/761648761648Optimal Regularity Properties of the Generalized Sobolev SpacesG. E. Karadzhov0Qaisar Mehmood1Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, BulgariaAbdus Salam School of Mathematical Sciences, GC University, Lahore 68-B, PakistanWe prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .http://dx.doi.org/10.1155/2013/761648 |
| spellingShingle | G. E. Karadzhov Qaisar Mehmood Optimal Regularity Properties of the Generalized Sobolev Spaces Journal of Function Spaces and Applications |
| title | Optimal Regularity Properties of the Generalized Sobolev Spaces |
| title_full | Optimal Regularity Properties of the Generalized Sobolev Spaces |
| title_fullStr | Optimal Regularity Properties of the Generalized Sobolev Spaces |
| title_full_unstemmed | Optimal Regularity Properties of the Generalized Sobolev Spaces |
| title_short | Optimal Regularity Properties of the Generalized Sobolev Spaces |
| title_sort | optimal regularity properties of the generalized sobolev spaces |
| url | http://dx.doi.org/10.1155/2013/761648 |
| work_keys_str_mv | AT gekaradzhov optimalregularitypropertiesofthegeneralizedsobolevspaces AT qaisarmehmood optimalregularitypropertiesofthegeneralizedsobolevspaces |