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

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 som...

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Bibliographic Details
Published inInternational journal of mathematics and mathematical sciences Vol. 2005; no. 3; pp. 357 - 381
Main Authors Dziri, M, Jelassi, M, Rachdi, L T
Format Journal Article
LanguageEnglish
Published Wiley 01.01.2005
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0161-1712
1687-0425
DOI:10.1155/IJMMS.2005.357