Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Abstract
2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35We 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
