International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2005 / Article

Open Access

Volume 2005 |Article ID 529182 | https://doi.org/10.1155/IJMMS.2005.357

M. Dziri, M. Jelassi, L. T. Rachdi, "Spaces of DLp type and a convolution product associated with the spherical mean operator", International Journal of Mathematics and Mathematical Sciences, vol. 2005, Article ID 529182, 25 pages, 2005. https://doi.org/10.1155/IJMMS.2005.357

Spaces of DLp type and a convolution product associated with the spherical mean operator

Received02 Jun 2004
Revised23 Nov 2004

Abstract

We define and study the spaces p(×n), 1p, that are of DLp type. Using the harmonic analysis associated with the spherical mean operator, we give a new characterization of the dual space p(×n) and describe its bounded subsets. Next, we define a convolution product in p(×n)×Mr(×n), 1rp<, and prove some new results.

Copyright © 2005 M. Dziri et al. 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.


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