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Title: Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line
Authors: Gasmi, A.
Sifi, M.
Soltani, F.
Keywords: Dunkl Operator
Dunkl Kernel
Dunkl Transform
Dunkl Translation Operators
Herz-Type Hardy Spaces
Atomic Decompositions
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
ISSN: 1311-0454
Appears in Collections:2006

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