Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line


Autoria(s): Gasmi, A.; Sifi, M.; Soltani, F.
Data(s)

29/08/2010

29/08/2010

2006

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

http://hdl.handle.net/10525/1284

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