Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1284

 Title: Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line Authors: Gasmi, A.Sifi, M.Soltani, F. Keywords: Dunkl OperatorDunkl KernelDunkl TransformDunkl Translation OperatorsHerz-Type Hardy SpacesAtomic Decompositions46F1244A1544A35 Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 9, No 3, (2006), 287p-306p Abstract: We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces. As applications we investigate the Dunkl transform on these spaces and establish a version of Hardy inequality for this transform. Description: 2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35 URI: http://hdl.handle.net/10525/1284 ISSN: 1311-0454 Appears in Collections: 2006

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