Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by Differences
We present characterizations of the Besov-type spaces 𝐵𝑠,𝜏𝑝,𝑞 and the Triebel-Lizorkin-type spaces 𝐹𝑠,𝜏𝑝,𝑞 by differences. All these results generalize the existing classical results on Besov and Triebel-Lizorkin spaces by taking 𝜏=0.
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/328908 |
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| _version_ | 1849407931484733440 |
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| author | Douadi Drihem |
| author_facet | Douadi Drihem |
| author_sort | Douadi Drihem |
| collection | DOAJ |
| description | We present characterizations of the Besov-type spaces 𝐵𝑠,𝜏𝑝,𝑞 and the Triebel-Lizorkin-type spaces 𝐹𝑠,𝜏𝑝,𝑞 by differences. All these results generalize the existing classical results on Besov and Triebel-Lizorkin spaces by taking 𝜏=0. |
| format | Article |
| id | doaj-art-42f1d049be0940f3857c0a9ac30aa28d |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-42f1d049be0940f3857c0a9ac30aa28d2025-08-20T03:35:54ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/328908328908Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by DifferencesDouadi Drihem0Department of Mathematics, Laboratory of Pure and Applied Mathematics, M'Sila University, P.O. Box 166, M'Sila 28000, AlgeriaWe present characterizations of the Besov-type spaces 𝐵𝑠,𝜏𝑝,𝑞 and the Triebel-Lizorkin-type spaces 𝐹𝑠,𝜏𝑝,𝑞 by differences. All these results generalize the existing classical results on Besov and Triebel-Lizorkin spaces by taking 𝜏=0.http://dx.doi.org/10.1155/2012/328908 |
| spellingShingle | Douadi Drihem Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by Differences Journal of Function Spaces and Applications |
| title | Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by Differences |
| title_full | Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by Differences |
| title_fullStr | Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by Differences |
| title_full_unstemmed | Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by Differences |
| title_short | Characterizations of Besov-Type and Triebel-Lizorkin-Type Spaces by Differences |
| title_sort | characterizations of besov type and triebel lizorkin type spaces by differences |
| url | http://dx.doi.org/10.1155/2012/328908 |
| work_keys_str_mv | AT douadidrihem characterizationsofbesovtypeandtriebellizorkintypespacesbydifferences |