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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Bibliographic Details
Main Authors: Douadi Drihem, Madani Moussai
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/76182
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author Douadi Drihem
Madani Moussai
author_facet Douadi Drihem
Madani Moussai
author_sort Douadi Drihem
collection DOAJ
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.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2006-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-5160d57bbc6942ff931ab7b564fcbbee2025-02-03T06:44:42ZengWileyInternational 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
spellingShingle Douadi Drihem
Madani Moussai
On the pointwise multiplication in Besov and Lizorkin-Triebel spaces
International Journal of Mathematics and Mathematical Sciences
title 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_short On the pointwise multiplication in Besov and Lizorkin-Triebel spaces
title_sort on the pointwise multiplication in besov and lizorkin triebel spaces
url http://dx.doi.org/10.1155/IJMMS/2006/76182
work_keys_str_mv AT douadidrihem onthepointwisemultiplicationinbesovandlizorkintriebelspaces
AT madanimoussai onthepointwisemultiplicationinbesovandlizorkintriebelspaces