Séminaire SPACE Tours

Herz-type Hardy spaces for the Dunkl operator on the real line
F. Soltani
Thursday 14 June 2007 10:00 -  Tours -  Salle 2290 (Bât E2)

Résumé :
We introduce some new weighted Herz spaces associated with the Dunkl operator on $\mathbb{R}\,$. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces. As applications we investigate the Dunkl transform on these spaces, especially we establish a version of Hardy inequality for this transform.

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