The dual of the Hardy space associated with the Dunkl operators

The rational Dunkl operators are commuting differential-reflection on the Euclidean space Rd associated with a root system, that contain some non-local refection terms, and Hardy is defined by means of Riesz transforms respect to operators. aim paper prove its dual can be realized class functions Rd, denoted BMCκ in text, consists underlying certain type weighted Carleson measures. Our method “purely analytic” does not depend atomic decomposition. As corollary we obtain Fefferman-Stein decomposition BMCκ.