International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 76182, 18 pages
doi:10.1155/IJMMS/2006/76182
On the pointwise multiplication in Besov and Lizorkin-Triebel spaces
Department of Mathematics, Laboratory of Mathematics Pure and Applied, M'Sila University, P.O. Box 166, M'Sila 28000, Algeria
Received 1 February 2005; Revised 22 February 2006; Accepted 4 April 2006
Copyright © 2006 Douadi Drihem and Madani Moussai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.