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.
