LAUSR

We introduce the notion of a Heckman–Opdam two-wavelet multiplier, and give a trace formula for a Heckman–Opdam two-wavelet multiplier as a bounded linear operator in the trace class from $$L^{2}_{A_{k}}(\mathbb {R}^{d})$$LAk2(Rd) into $$L^{2}_{A_{k}}(\mathbb {R}^{d})$$LAk2(Rd) in terms of the symbol and the two admissible wavelets. Next, we give results on the boundedness and compactness of two Heckman–Opdam wavelet multipliers on $$L^{p}_{A_{k}}(\mathbb {R}^{d})$$LAkp(Rd), $$1 \le p \le \infty $$1≤p≤∞.