On the pointwise multiplication in Besov and Lizorkin-Triebel spaces
Under some sufficient conditions satisfied by F-space of Lizorkin and Triebel and B-space of Besov, we prove some embeddings of types F⋅B↪F, F⋅F↪F, and B⋅B↪B.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/76182 |
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doaj-5160d57bbc6942ff931ab7b564fcbbee2020-11-25T00:03:22ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/7618276182On the pointwise multiplication in Besov and Lizorkin-Triebel spacesDouadi Drihem0Madani Moussai1Department of Mathematics, Laboratory of Mathematics Pure and Applied, M'Sila University, P.O. Box 166, M'Sila 28000, AlgeriaDepartment of Mathematics, Laboratory of Mathematics Pure and Applied, M'Sila University, P.O. Box 166, M'Sila 28000, AlgeriaUnder some sufficient conditions satisfied by F-space of Lizorkin and Triebel and B-space of Besov, we prove some embeddings of types F⋅B↪F, F⋅F↪F, and B⋅B↪B.http://dx.doi.org/10.1155/IJMMS/2006/76182 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Douadi Drihem Madani Moussai |
| spellingShingle |
Douadi Drihem Madani Moussai On the pointwise multiplication in Besov and Lizorkin-Triebel spaces International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Douadi Drihem Madani Moussai |
| author_sort |
Douadi Drihem |
| title |
On the pointwise multiplication in Besov and Lizorkin-Triebel spaces |
| title_short |
On the pointwise multiplication in Besov and Lizorkin-Triebel spaces |
| title_full |
On the pointwise multiplication in Besov and Lizorkin-Triebel spaces |
| title_fullStr |
On the pointwise multiplication in Besov and Lizorkin-Triebel spaces |
| title_full_unstemmed |
On the pointwise multiplication in Besov and Lizorkin-Triebel spaces |
| title_sort |
on the pointwise multiplication in besov and lizorkin-triebel spaces |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| description |
Under some sufficient conditions satisfied by F-space of
Lizorkin and Triebel and B-space of Besov, we prove some
embeddings of types F⋅B↪F, F⋅F↪F, and B⋅B↪B. |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/76182 |
| work_keys_str_mv |
AT douadidrihem onthepointwisemultiplicationinbesovandlizorkintriebelspaces AT madanimoussai onthepointwisemultiplicationinbesovandlizorkintriebelspaces |
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