Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line
| Data(s) |
29/08/2010
29/08/2010
2006
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|---|---|
| Resumo |
2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35 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. * The authors are supported by the DGRST research project 04/UR/15-02. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 9, No 3, (2006), 287p-306p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Dunkl Operator #Dunkl Kernel #Dunkl Transform #Dunkl Translation Operators #Herz-Type Hardy Spaces #Atomic Decompositions #46F12 #44A15 #44A35 |
| Tipo |
Article |
